Question

find the slope of the line

select the correct choice below and, if necessary, fill in the answer box to complete your choice

a. the slope of the line is
(simplify your answer. type an integer or a fraction.)

b. the slope is undefined.

Explanation:

Step1: Identify two points on the line

From the graph, we can pick the points $(-2, 2)$ and $(2, -1)$.

Step2: Apply slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.
Substitute the points: $m=\frac{-1-2}{2-(-2)}=\frac{-3}{4}$

Answer:

A. The slope of the line is $\boldsymbol{-\frac{3}{4}}$