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=(y_2-y_1)/(x_2-x_1)`

We can equal both slopes of mAC and mCE

`\begin{gathered} (3-6)/(-1-(-3))=(-3-3)/(3-(-1)) \\ \\ (-3)/(2)=-(6)/(4) \\ -(3)/(2)=-(3)/(2) \end{gathered}`

Answer is B.