Question

functions and lines finding slope given the graph of a line on a grid find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let's take two points on the line, say $(1,4)$ and $(3, - 2)$.

Step2: Use slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 1,y_1=4,x_2 = 3,y_2=-2$. Then $m=\frac{-2 - 4}{3 - 1}$.

Step3: Calculate the slope

$\frac{-2 - 4}{3 - 1}=\frac{-6}{2}=-3$.

Answer:

$-3$