Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

From the graph, two points are (-3, 3) and (1, -4).

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-3,3)$ and $(x_2,y_2)=(1, - 4)$. Then $m=\frac{-4 - 3}{1-(-3)}$.

Step3: Calculate the slope

$m=\frac{-4 - 3}{1 + 3}=\frac{-7}{4}=-\frac{7}{4}$.

Answer:

$-\frac{7}{4}$