# How do you write an equation in standard form for a line passing through (3, 4) and (–3, –8)?

##### 3 Answers

#### Explanation:

The equation of line passing through the points

#### Explanation:

#"the equation of a line in "color(blue)"standard form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))#

#"where A is a positive integer and B, C are integers"#

#"obtain the equation in "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"to calculate m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(3,4)" and "(x_2,y_2)=(-3,-8)#

#m=(-8-4)/(-3-3)=(-12)/(-6)=2#

#y=2x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute either of the 2 given points into"#

#"the partial equation"#

#"using "(3,4)" then"#

#4=6+brArrb=4-6=-2#

#y=2x-2larrcolor(red)"in slope-intercept form"#

#2x-y=2larrcolor(red)"in standard form"#

#### Explanation:

If you are given the co-ordinates of two points on a line, here is a good formula to use to get the equation of the line:

Use