Linear Equations in Point-Slope Form
Key Questions
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Answer:
1) point-slope form
2) slope intercept formExplanation:
1)
#y−b=m(x−a)#
m = slope
(a, b) A point that the line passes through2)
#y=mx+b#
m = slope
b = y-intercept -
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 -
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]}.
Questions
Forms of Linear Equations
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Write an Equation Given the Slope and a Point
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Write an Equation Given Two Points
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Write a Function in Slope-Intercept Form
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Linear Equations in Point-Slope Form
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Forms of Linear Equations
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Applications Using Linear Models
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Equations of Parallel Lines
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Equations of Perpendicular Lines
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Families of Lines
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Fitting Lines to Data
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Linear Interpolation and Extrapolation
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Problem Solving with Linear Models
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Dimensional Analysis