Forms for the Equation of a Line

To write the equation of a line, you only need...

• y-intercept

• slope

• x-intercept

• graph

• point

The equation of the line in point-slope form that passes through (-5, 2) with a slope of 3 is ...

•  $y-5=3\left(x+2\right)$  

•  $y+5=3\left(x-2\right)$  

•  $y+2=3\left(x-5\right)$  

•  $y-2=3\left(x+5\right)$  

Identify a point on the line represented by the equation

 $y+6=-\frac{1}{2}\left(x-8\right)$ . 

• (6, -8)

• (-6, 8)

• (-8, 6)

• (8, -6)

Write the equation of the line in point-slope form. Use the rightmost point.

• $y+3=-2\left(x-1\right)$

• $y-3=-2\left(x+1\right)$

• $y+1=-2\left(x-3\right)$

• $y-1=-2\left(x+3\right)$

Write an equation in point-slope form of the line that passes through the points (3, -2) and (6, 0). (Use the first point.)

• $y+3=\frac{2}{3}\left(x-2\right)$

• $y+2=-\frac{2}{3}\left(x-3\right)$

• $y+2=\frac{3}{2}\left(x-3\right)$

• $y-2=-\frac{3}{2}\left(x+3\right)$

• $y+2=\frac{2}{3}\left(x-3\right)$