Question

on the line that passes through point c mark a point d that is distinct from point c then use slope formula along with the coordinates of points a b c and d to find the slopes of AB and DC

Answer 1

The slope of AB is -2 and the slope of DC is 1/2

EXPLANATION :

For the line that passes through point C, we will choose a point for D.

Let's say D(-1, 1)

The coordinates of A, B, and C are as follows :

A(-3, 3)

B(-1, -1)

C(1, 2)

Using slope formula :

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

The slopes are :

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