Question

Write an equation of the line passing through the points (3,6) and (-2, -19).

Answer 1

Let:

$\begin{gathered} (x1,y1)=(3,6) \\ (x2,y2)=(-2,-19) \\ \text{the slope m is:} \\ m=\frac{-19-6}{-2-3}=\frac{-25}{-5}=5 \end{gathered}$

Using the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-6=5(x-3) \\ y-6=5x-15 \\ y=5x-9 \end{gathered}$