Question

Find the point-slope equation forthe line that passes through thepoints (-2, -20) and (9, 79). Usethe first point in your equation.

Answer 1

First, we need to find the slope m which is given by:

$m=\frac{y2-y1}{x2-x1}=\frac{79-(-20)}{9-(-2)}=\frac{99}{11}=9$

Now, we can use the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ so: \\ y-(-20)=9(x-(-2)) \\ Answer: \\ y+20=9(x+2) \end{gathered}$