Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

Let the two points be $(0,1)$ and $(4, - 2)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=1,x_2 = 4,y_2=-2$. Then $m=\frac{-2 - 1}{4-0}$.

Step3: Calculate the slope

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

Answer:

$-\frac{3}{4}$