Question

follow these steps to prove the given quadrilateral is a parallelogram. 1. determine the slope of ab. -4/3 0 4/3 check

Explanation:

Step1: Identify coordinates of A and B

Let \(A=( - 5,-2)\) and \(B=( - 2,2)\) (estimated from the graph).

Step2: Apply slope - formula

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

Answer:

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