Forms for the Equation of a Line

y-intercept

slope

x-intercept

graph

point

 $y-5=3\left(x+2\right)$  

 $y+5=3\left(x-2\right)$  

 $y+2=3\left(x-5\right)$  

 $y-2=3\left(x+5\right)$  

(6, -8)

(-6, 8)

(-8, 6)

(8, -6)

$y+3=-2\left(x-1\right)$

$y-3=-2\left(x+1\right)$

$y+1=-2\left(x-3\right)$

$y-1=-2\left(x+3\right)$

$y+3=\frac{2}{3}\left(x-2\right)$

$y+2=-\frac{2}{3}\left(x-3\right)$

$y+2=\frac{3}{2}\left(x-3\right)$

$y-2=-\frac{3}{2}\left(x+3\right)$

$y+2=\frac{2}{3}\left(x-3\right)$