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=(y2-y1)/(x2-x1)=(79-(-20))/(9-(-2))=(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}`