Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

The line passes through $(0, 1)$ and $(4, -4)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, substitute points:
$m = \frac{-4 - 1}{4 - 0}$

Step3: Calculate the slope

$m = \frac{-5}{4}$

Answer:

$\frac{-5}{4}$