Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on line

Choose points $(-1, 1)$ and $(-5, -2)$

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
$$m = \frac{-2 - 1}{-5 - (-1)} = \frac{-3}{-4}$$

Step3: Simplify the fraction

$\frac{-3}{-4} = \frac{3}{4}$

Answer:

$\frac{3}{4}$