Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on line

The line passes through $(3, 3.5)$ and $(-3, -4)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, substitute points:
$m = \frac{3.5 - (-4)}{3 - (-3)} = \frac{7.5}{6}$

Step3: Simplify the fraction

$\frac{7.5}{6} = \frac{15}{12} = \frac{5}{4}$

Answer:

$\frac{5}{4}$