Question

follow these steps to prove the given quadrilateral is a parallelogram.

1. determine the slope of \\( \overline { a b } \\).

Explanation:

Step1: Identify coordinates of points

From the graph, \(A(-5,-2)\) and \(B(-2,2)\).

Step2: Use slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-5,-2)\) and \((x_2,y_2)=(-2,2)\). Then \(m=\frac{2 - (-2)}{-2-(-5)}=\frac{2 + 2}{-2 + 5}=\frac{4}{3}\).

Answer:

\(\frac{4}{3}\)