Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let's take two points on the line: $(1,4)$ and $(4, - 1)$.

Step2: Use slope - formula

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

Step3: Calculate the slope

$m=\frac{-5}{3}=-\frac{5}{3}$.

Answer:

$-\frac{5}{3}$