Question

find the slope

Explanation:

Step1: Identify two points on the line

Let the two - points be \((x_1,y_1)\) and \((x_2,y_2)\). From the graph, assume the points are \((- 4,2)\) and \((3,-3)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1=-4,y_1 = 2,x_2 = 3,y_2=-3\) into the formula: \(m=\frac{-3 - 2}{3-(-4)}=\frac{-5}{7}=-\frac{5}{7}\).

Answer:

\(-\frac{5}{7}\)