Question

1. determine the slope of line cd.

Explanation:

Step1: Identify two - point coordinates

Let \(C(-2,5)\) and \(D(4, - 5)\)

Step2: Use slope formula

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

Step3: Calculate the slope

\(m=\frac{-10}{6}=-\frac{5}{3}\)

Answer:

$- \frac{5}{3}$