Question

the graph of a function is shown on the coordinate plane below. identify the slope of the function.

Explanation:

Step1: Identify two points

From the graph, we can see that the line passes through \((-2, 0)\) and \((0, -3)\).

Step2: Use slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-2,0)\) and \((x_2,y_2)=(0,-3)\). Then \(m = \frac{-3 - 0}{0 - (-2)}=\frac{-3}{2}=-\frac{3}{2}\).

Answer:

\(-\frac{3}{2}\)