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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

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 class=

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ANSWER :

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 :

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The slopes are :

[tex]\begin{gathered} m_{AB}=\frac{-1-3}{-1-(-3)}=\frac{-4}{2}=-2 \\ \\ m_{DC}=\frac{2-1}{1-(-1)}=\frac{1}{2} \end{gathered}[/tex]

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