Linear Equations in Point-Slope Form

Key Questions

• What is the difference between point-slope form and slope intercept form?

  Answer:

  1) point-slope form
  2) slope intercept form

  Explanation:

  1) `y−b=m(x−a)`
  m = slope
  (a, b) A point that the line passes through

  2) `y=mx+b`
  m = slope
  b = y-intercept

  Hope It Helps · 6 · Mar 29 2018
• How do you graph equations that are written in point-slope form?

  Answer:

  Explanation below:

  Explanation:

  Let's use this example from http://www.purplemath.com/modules/strtlneq2.htm to help you understand how to graph point-slope form equations:

  `m = 4`, `x_1 = –1`, and `y_1 = –6` are given.

  Formula:

  `y – y_1 = m(x – x_1)`

  Plug-in your variables:

  `y – (–6) = (4)(x – (–1))`

  Simplify. Two negatives make a positive:

  `y + 6 = 4(x + 1)`

  Distribute 4 to x and 1. Simplify.

  `y + 6 = 4x + 4`

  Subtract 6 from both sides.

  `y = 4x – 2`

  graph{y=4x-2 [-12.66, 12.65, -7.7, 4.96]}

  Source and for more info:
  http://www.purplemath.com/modules/strtlneq2.htm

  Camilleon · 1 · May 4 2018
• How do you write linear equations in point slope form?

  To find the equation of a line having a point `P(x_p,y_p)` and with the slope `m`, this formula can be used:

  `y-y_p=m(x-x_p)`.

  E.G.:

  Find the line that passes from P(2,-3) with the slope of 4:

  `y+3=4(x-2)rArry=4x-11`.

  graph{4x-11 [-10, 10, -5, 5]}.

  Massimiliano · 2 · Feb 1 2015

• How do you write linear equations in point slope form?
• What is the difference between point-slope form and slope intercept form?
• How do you graph equations that are written in point-slope form?
• How do you write an equation in point slope form when slope is `1/3` and the y- intercept is –4?
• How do you write the equation of a line in point slope form if the line contains the points (–2, 3) and (–1, –2)?
• How do you write the equation of a line in point slope form given the line has a slope of –6 and a y- intercept of 0.5?
• How do you write `y+4=\frac{-2}{3}(x+6)` in slope intercept form?
• How do you write `0=x+5` in slope intercept form?
• What is the equation written in point slope form if `f(6)=0` and `f(0)=6`?
• What is the equation written in point slope form if `m=25` and `f(0)=250`?
• How do you graph the equation `y-2=3(x-1)`?
• What is the equation of the line in point slope form if the slope is 2 and goes through point (-3,5)?
• Question #cb305
• What is the point slope form of a vertical line?
• What is the point slope form of an equation with the slope 3/5 and goes through point (2,4)?
• How do you write the point-slop form of an equation of the line that passes through the given point (5, -2) and has the given slope m=3?
• How do you write an equation in point slope form for the line with the given slope m=-2 and passes through the given point (0,1)?
• How do you write an equation in point-slope form of the line through point J(4, 1) with slope –4?
• How do you find an equation in point-slope form of the line having the specified slope m = -7 and containing the point (0, -4)?
• Which is an equation in point-slope form for the given point (7, 4) and slope 6?
• How do you write the equation of a line in point slope form passing through (-6,-4) and (2,-5)?
• How do you write the point slope form of an equation for the horizontal line that passes through (4,-2)?
• How do you write an equation of the line, in point-slope form, that passes through the two given points (-2,15), (9,-18)?
• How do you write an equation in point slope form of the line that contains the given point (2,3) and has the given slope 2?
• How do you write an equation in point-slope form for the line passing through the points (2,8) and (3,4)?
• How do you write the equation of a line that passes through point: (1, 9) and has slope 5?
• Using the point-slope form of a line, how do you find the equation of the line that passes through the point (2,1) with slope -2/3? Would the X-intercept be 3 or 3.5? and then the slope...I just need help. Thank you all for the help?
• How do you write in point slope form an equation of the line through each pair of points (2,7) and (-4,1)?
• How do you write an equation in point slope form of a line through point j(4,1) with slope -4?
• How do you write an equation in point slope form of a line that passes through (2,-1) and (8,4)?
• How do you write an equation in point-slope form for the line with the given slope 8/3 and through the given point (-2,-7)?
• How do you find the point-slope form of the equation of the line passing through the points (–1, –3) and (4, 1)?
• What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?
• How do you write an equation in point slope form of a line that passes through (3,0), and has slope m= -2?
• Write an equation in point-slope form for the line through the given point (4,-6) with the given slope m=3/5?
• How do you write a equation in point -slope form for the line with the given slope and through the given point (-2,-6) and has slope 8/3?
• How do you find the equation of the line that passes through the point (-2,5) and has slope m = -6/11?
• What is the equation in point-slope form of the line passing through (–2, 1) and (4, 13)?
• How do you write the point-slope form of the equation passing through (5, -1) with a slope of 6?
• How do you write the equation in point-slope form of the line passing through (4, 0) and (2, 6)?
• How do you write an equation in point-slope form for the line through the given slope:(4,-6); m=3/5?
• How do you write an equation written in point slope form passing through the points (−6, 4) and (2, 0)?
• How do you write an equation for the line in point-slope form and in slope-intercept form x-intercept = -1/2 and y-intercept 2?
• How do you write an equation in point-slope form of the line that passes through the given points (-1,-8),(4,-6)?
• How do you write an equation of a line in point slope form passing through the points (5, -1) (-3, 4)?
• How do you write an equation for each line in point-slope form and slope-intercept form if slope=4, passing through (1,3)?
• How do you change the equation `2x-6y=5` from standard to point-slope and slope intercept?
• How do you find the slope and one point on the line that each point-slope equation represents for `y=3+2(x-1)`?
• How do you write in point-slope form the equation of the line through each pair of points (0,1) and (3,0)?
• What is the slope of the line in `y - 11 = -13(x - 7)`?
• How do you write an equation of the line that passes through the point (2, 1) and has slope 5 in point-slope form?
• How do you write the point-slope form of an equation of the line that passes through each pair of points (4,1), (-3,6)?
• How do you find the point-slope form of the equation of the line passing through the points (8,11), (6,16)?
• How do you find the point-slope form of the equation of the line passing through the points (4,2), (-4, -2)?
• How do you find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)?
• How do you find the point-slope form of the equation of the line passing through the point (6, -3) and has a slope of 1/2?
• How do you find the point-slope form of the equation of the line passing through the points (-3, 2) and (2, 1)?
• How do you find the point-slope form of the equation of the line passing through the point (-1, 2) and has slope -3?
• How do you find the point-slope form of the equation of the line passing through the point (-1, -3) and has slope 5?
• How do you find the point-slope form of the equation of the line passing through the point (10,-9);m=-2?
• How do you find the point-slope form of the equation of the line passing through the points x(3, 2) and y(5,10)?
• How do you find the point-slope form of the equation of the line passing through the Point: (–8, 3); Slope: 6?
• How do you find the point-slope form of the equation of the line passing through the Point: (1, –7); Slope: -2/3?
• How do you find the point-slope form of the equation of the line passing through the points (-7, 0) and (5, 4)?
• How do you write an equation in point slope form that passes through Point: (7, 4); Slope: 6?
• How do you write an equation in point slope form that passes through P(2,3), slope 2?
• How do you write an equation in point slope form that passes through P(-2,4) and parallel to x=5?
• How do you write an equation in point slope form that passes through P(-2,4) and perpendicular to x=5?
• How do you write an equation in point slope form that passes through P(-3,-2) and perpendicular to y=3?
• How do you write an equation in point slope form that passes through P(-3,-2) and parallel to y=3?
• How do you write an equation in point slope form that passes through (1,4) and(4,9)?
• How do you write an equation in point slope form that passes through Point: (1, –7); Slope: -2/3?
• How do you write an equation in point slope form that passes through (-2,-8) and parallel to line whose equation is `y=-3x+2`?
• How do you write an equation in point slope form that passes through (5,4),m=-5?
• How do you write an equation in point slope form that passes through (-2,-4),m=3/4?
• How do you write an equation in point slope form that passes through (-3, 3/4) and has no slope?
• How do you write an equation in point slope form that passes through (0, -4) with slope -7?
• How do you write an equation in point slope form that passes through (-4, -2) with slope -5?
• How do you write an equation in point slope form that passes through (0,3) with slope -1/2?
• How do you write an equation in point slope form that passes through (4,-8) with slope 3?
• How do you write an equation in point slope form that passes through (9,10) with slope -5?
• How do you write an equation in point slope form that passes through (4,9) , (-2,-6)?
• How do you write an equation in point slope form that passes through (5,-8) , (-9,-8)?
• How do you write an equation in point slope form that passes through ( -1,0) , (3, 10)?
• How do you write an equation in point slope form that passes through ( 0,7) , (1,5)?
• What is the slope and the point in `y=3+2(x-1)`?
• How do you write an equation in point-slope form for the given (-2,-1) and (3,-4)?
• How do you write an equation in point-slope form for the given (-4,-1) and (2,-1)?
• How do you write an equation in point-slope form for the given (-3, 2) and (2, 1)?
• How do you write an equation in point-slope form for the given (3, 5) and slope 3/2?
• How do you write an equation in point-slope form for the given (–1, –3) and (4, 1)?
• How do you write an equation in point-slope form for the given (-3,-5) Slope: -5?
• How do you write an equation in point-slope form for the given (–2, 1) and (4, 13)?
• How do you write an equation in point-slope form for the given (0, 7) with a slope of –5?
• How do you write an equation in point-slope form for the given (–3, –5) and (3, 0)?
• How do you write an equation in point-slope form for the given y-intercept (0, 5) and is perpendicular to the line with equation y = –3x + 1?
• How do you write an equation in point-slope form for the given (6, 1), (-4. 1)?
• How do you write an equation in point-slope form for the given (4, 5), (2, 2)?
• How do you write an equation in point-slope form for the given (2, 2), (-1, 4)?
• How do you write an equation in point-slope form for the given (-4, 2), (-3, -5)?
• How do you write an equation in point-slope form for the given (0, 6), (3,0)?
• How do you write an equation in point-slope form for the given (3, -2), (5, 4)?
• How do you write an equation in point-slope form for the given (5, 1), (0, -6)?
• How do you write an equation in point-slope form for the given (-2, -1), (4, -4)?
• How do you write an equation in point-slope form for the given (-1, 7), (5, 7)?
• How do you write an equation in point-slope form for the given (-3, 5), (-6, 8)?
• How do you write an equation in point-slope form for the given (-2,-7) and (3,1)?
• How do you write an equation in point-slope form for the given (-5, 0) with slope 4?
• How do you write an equation in point-slope form for the given (6,8) and is parallel to the line given by y=-5x+4?
• How do you write an equation in point-slope form for the given (−2, −7) m = 1 ?
• How do you write an equation in point-slope form for the given (1,2), m= 2?
• What are the intercepts of `y= - 6/5x + 6`?
• How do you write the equation y - 2 = 2(x - 3) in standard form?
• How do you write the equation in point slope form given (-5,-6) and m=2?
• How do you write the equation in point slope form given (-7,2) and m=3?
• How do you write the equation in point slope form given (3,5) and m=-2?
• How do you write the equation in point slope form given (6,-2) and m=-3?
• How do you write the equation in point slope form given (5,-2) and m=2?
• How do you write the equation in point slope form given (7,0) and m=4?
• How do you write the equation in point slope form given (0,9) and m=-2?
• How do you write the equation in point slope form given (5,-1) and m=1/5?
• How do you write the equation in point slope form given (-3,-2) and m=1/4?
• How do you write the equation in point slope form given (0,8) and (-1,10)?
• How do you write the equation in point slope form given (-6,8) and (4,8)?
• How do you write the equation in point slope form given (4,5) and (-3,8)?
• How do you write the equation in point slope form given (0,9) and (2,0)?
• How do you write the equation in point slope form given (-1,7) and (8,-2)?
• How do you write the equation in point slope form given (4,0) and (0,5)?
• How do you write the equation in point slope form given (5,7) and (-1,3)?
• How do you write the equation in point slope form given (0,0) and (-4,3)?
• How do you write the equation in point slope form given (-3,-5) and (3,-15)?
• How do you write the equation in point slope form given (-1/2, 1/2) and (1/4, 3/4)?
• How do you write the point slope form of the equation given (12,5) and m=-3?
• How do you write the point slope form of the equation given (4,-5) and m=6?
• How do you write the point slope form of the equation given (-6,-2) and m=3?
• How do you write the point slope form of the equation given (7,-6) and m=1/2?
• How do you write the point slope form of the equation given (-8,2) and m=-3/4?
• How do you write the point slope form of the equation given (4,7) and (5,1)?
• How do you write the point slope form of the equation given (9,-2) and (-3,2)?
• How do you write the point slope form of the equation given (3,-8) and(7,-2)?
• How do you write the point slope form of the equation given (-3,-2) and slope 1?
• How do you write the point slope form of the equation given (5,3) and slope 4/5?
• How do you write the point slope form of the equation given (5,5) and slope 3/5?
• How do you write the point slope form of the equation given (3,2) and slope -1/3?
• How do you write the point slope form of the equation given (-3,-4) and slope 9/7?
• How do you write the point slope form of the equation given (-4,-4) and slope 1/5?
• How do you write the point slope form of the equation given (-4,1) and slope -6?
• How do you write the point slope form of the equation given (-4,-5) and slope 1/4?
• How do you write the point slope form of the equation given (-3,-3) and slope -1/3?
• How do you write the point slope form of the equation given (1,-3) and slope 0?
• How do you write the point slope form of the equation given (1,-3) and slope 0?
• How do you write the point slope form of the equation given (0,-2) and (-1,2)?
• How do you write the point slope form of the equation given (3,-2) and (-4,-1)?
• How do you write the point slope form of the equation given (1,2) and (0,0)?
• How do you write the point slope form of the equation given (4,-5) and (0,-1)?
• How do you write the point slope form of the equation given (0,0) and (-3,-2)?
• How do you write the point slope form of the equation given (-5,5) and (0,2)?
• How do you write the point slope form of the equation given (0,3) and (-1,-3)?
• How do you write the point slope form of the equation given (-3,4) and (0,3)?
• How do you write the point slope form of the equation given (0,2) and (2,1)?
• How do you write the point slope form of the equation given (0,4) and (1,-4)?
• How do you write the point slope form of the equation given (-5,-1) and (0,-5)?
• How do you write the point slope form of the equation given (0,-5) and (-2,4)?
• How do you write the point slope form of the equation given (-5,-4) and (4,2)?
• How do you write the point slope form of the equation given (3,-3) and (5,0)?
• How do you write the point slope form of the equation given (5,5) and (-1,-3)?
• How do you write the point slope form of the equation given (5,-2) and (3,5)?
• How do you write the point slope form of the equation given (4,2) and (1,-1)?
• How do you write the point slope form of the equation given (5,0) and (5,4)?
• How do you write the point slope form of the equation given m=3 and (2,3)?
• How do you write the point slope form of the equation given m=3 and (-4,7)?
• How do you write the point slope form of the equation given m=-4 and (0,3)?
• How do you write the point slope form of the equation given m=-5 and (7,2)?
• How do you write the point slope form of the equation given m=2/3 and (3,2)?
• How do you write the point slope form of the equation given m=-3/2 and (2,-3)?
• How do you write the point slope form of the equation given (-3,1) and (5,4)?
• How do you write the point slope form of the equation given (5,-6) and (2,3)?
• How do you write the point slope form of the equation given (2,-2) and (-6,1)?
• How do you write the point slope form of the equation given (3,4) and (-7,4)?
• How do you write the point slope form of the equation given (0,-2) and (7,0)?
• How do you write the point slope form of the equation given (-5,-1) and (4,-7)?
• How do you write the point slope form of the equation given m=2 and (-1,-3)?
• How do you write the point slope form of the equation given m=-7 and (1,-1)?
• How do you write the point slope form of the equation given m=-2 and (-5,-2)?
• How do you write the point slope form of the equation given m=6 and (2,5)?
• How do you write the point slope form of the equation given m=3 and (0,10)?
• How do you write the point slope form of the equation given m=-9 and (8,9)?
• How do you write the point slope form of the equation given m=-1 and (-6,12)?
• How do you write the point slope form of the equation given m=0 and (3,7)?
• How do you write the point slope form of the equation given (-1,3) and (-2,5)?
• How do you write the point slope form of the equation given (-7,7) and (5,-6)?
• How do you write the point slope form of the equation given (1,12) and (-3,5)?
• How do you write the point slope form of the equation given (1,9) and (-2,-2)?
• How do you write the point slope form of the equation given (-6,10) and (2,-5)?
• How do you write the point slope form of the equation given (-8,7) and (-3,-5)?
• How do you write the point slope form of the equation given (-3,3) and (4,10)?
• How do you write the point slope form of the equation given (0,9) and (-2,11)?
• If `8sqrt(4z^2 - 43) = 40`, what is the value of `z`?
• Question #dfc9a
• How do you write an equation in point slope form given (1/2,-4), (2,11)?
• How do you write an equation in point slope form given (8,3), (-1/3,-2)?
• How do you write an equation in point slope form given (-0.5, 0.9), (-3.3, -0.5)?
• How do you write an equation in point slope form given (3.2, -1.4), (2.4, 1.8)?
• How do you write an equation in point slope form given (3/2, -1/3), (-2/3, 4)?
• How do you write an equation in point slope form given (5,-4), (1/2, -1/4)?
• How do you write an equation in point slope form given (p,q), (-p, 2q)?
• How do you write an equation in point slope form given (2p, -q), (p, p-q)?
• What is the equation in slope-intercept form that goes through the points `(2,4)` and `(8,9)`?
• How do you write the equation in point slope form given (-2,5) and slope -6?
• How do you write the equation in point slope form given (-2,-8) and slope 5/6?
• How do you write the equation in point slope form given (4,3), slope -1/2?
• How do you write the equation in point slope form given (5,3) and slope 7?
• How do you write the equation in point slope form given (2,-1), m=-3?
• How do you write the equation in point slope form given (-6,-3), m=-1?
• How do you write the equation in point slope form given (-7,6), m=0?
• How do you write the equation in point slope form given (-2, 11), m=4/3?
• How do you write the equation in point slope form given (-7,-8), m=-3/7?
• How do you write the equation in point slope form given (-2,-9), slope -7/9?
• How do you write the equation in point slope form of a horizontal line that passes through (-6,0)?
• How do you write `y-10=2(x-8)` in standard form?
• How do you write `y-6=-3(x+2)` in standard form?
• How do you write `y-9=-6(x+9)` in standard form?
• How do you write `y+4=2/3(x+7)` in standard form?
• How do you write `y+7=9/10(x+3)` in standard form?
• How do you write `y+7=-3/2(x+1)` in standard form?
• How do you write `2y+3=-1/3(x-2)` in standard form?
• How do you write `4y-5x=3(4x-2y+1)` in standard form?
• How do you write `y+8=-11/12(x-14)` in standard form?
• How do you write `y-3=2.5(x+1)` in standard form?
• How do you write `y+2.1=1.4(x-5)` in standard form?
• How do you write `y+3/5=x-2/5` in slope intercept form?
• How do you write `y-7/2=1/2(x-4)` in slope intercept form?
• How do you write `y+1/3=5/6(x+2/5)` in slope intercept form?
• Question #bdab0
• How do you write the line through (6, -4) with slope 2/3 in point-slope form?
• A line passes through (-7, -5) and (-5, 4). How do you write an equation for the line in point-slope form Rewrite the equation in standard form using integers?
• Given `y+3=-2/3(x-3)` what is the slope and point on the graph?
• What is the slope-intercept form of the equation which goes through `(1, 1)` and `(3, 4)`?
• Which is an equation in point-slope form for the line that passes through the points (-1,4) and (3,-4)?
• How do you write the equation `y-13=4(x-2)` in standard form?
• How do you write the equation `y+3=3(x+5)` in standard form?
• How do you write the equation `y-5=-2(x+6)` in standard form?
• How do you write the equation `y+3=-5(x+1)` in standard form?
• How do you write the equation `y+7=1/2(x+2)` in standard form?
• How do you write the equation `y-1=5/6(x-4)` in standard form?
• How do you write the equation `y-2=-2/5(x-8)` in standard form?
• How do you write the equation `y+4=-1/3(x-12)` in standard form?
• How do you write the equation `y+2=5/3(x+6)` in standard form?
• How do you write the equation `y+6=3/2(x-4)` in standard form?
• How do you write the equation `y-6=1.3(x+7)` in standard form?
• How do you write the equation `y-2=-2/5(x-1)` in standard form?
• Question #76c55
• How do you write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation?
• How do you write the equation in point slope form passing through (-5, -2) and parallel to the line whose equation is `y=-3x+4`?
• How do you write `y+4` = `2/3``(x+7)` in standard form?
• How do you write the equation in point slope form given m=-4 and point (2,7)?
• How do you write the equation in point slope form given m=-3 and point (12,5)?
• How do you write the equation in point slope form given m=6 and point (4,-5)?
• How do you write the equation in point slope form given m=3 and point (6,-2)?
• How do you write the equation in point slope form given `m=1/2` and point `(7,-6)`?
• How do you write the equation in point slope form given m=-3/4 and point (-8,2)?
• How do you graph `y-1=3(x+6)`?
• How do you graph `y+4=-5/2(x-3)`?
• How do you write the equation in point slope form given (-2,5) (1, -1)?
• How do you write the equation in point slope form given (-3, -2), (2,-1)?
• `0.5x+y=5` ?
• Question #a22d8