Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

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

Step2: Use slope - formula

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

Step3: Calculate the value

$\frac{-1 - 4}{4 - 2}=\frac{-5}{2}=-\frac{5}{2}$.

Answer:

$-\frac{5}{2}$