Question

find the slope of the line passing through the pair of points, and draw the graph of the line.
(-6, -2), (3, -2)
draw the graph on paper.
answer
the slope is

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(-6,-2)$ and $(x_2,y_2)=(3,-2)$

Step3: Substitute into formula

$m=\frac{-2-(-2)}{3-(-6)}=\frac{0}{9}$

Step4: Simplify the expression

$m=0$

Answer:

0

Graph note: This is a horizontal line passing through $y=-2$, crossing the points $(-6,-2)$ and $(3,-2)$.