Question

which proportion can be used to show that the slope of AC is equal to the slope of CE?

Answer 1

Slope is given by the expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

We can equal both slopes of mAC and mCE

$\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\ \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}$

Answer is B.