Question

what is the slope of the line perpendicular to segment eg if the coordinates of e and g are (-3, 2) and (2, 0)

Answer 1

Let:

$\begin{gathered} (x1,y1)=(-3,2) \\ (x2,y2)=(2,0) \\ m1=\frac{y2-y1}{x2-x1}=\frac{0-2}{2-(-3)}=\frac{-2}{5}=-\frac{2}{5} \end{gathered}$

Since the lines are perpendicular:

$\begin{gathered} m1\times m2=-1 \\ -\frac{2}{5}\times m2=-1 \\ m2=\frac{5}{2} \end{gathered}$

The slope of the line perpendicular to that segment is 5/2.