Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let's take two points on the line, say $(x_1,y_1)$ and $(x_2,y_2)$. For example, if we take the points where the line crosses the grid - intersections. Suppose $(x_1,y_1)=( - 2,-2)$ and $(x_2,y_2)=(2,2)$.

Step2: Apply slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1=-2,y_1 = - 2,x_2=2,y_2 = 2$ into the formula: $m=\frac{2-( - 2)}{2-( - 2)}=\frac{2 + 2}{2+2}$.

Step3: Simplify the expression

$\frac{2 + 2}{2+2}=\frac{4}{4}=1$.

Answer:

$1$