Question

find the slope, if it exists, of the line.
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. m = (type an integer or a simplified fraction.)
b. the slope is undefined.

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here the two points are $(-4,-6)$ and $(5,-6)$.

Step2: Substitute values

Let $(x_1,y_1)=(-4,-6)$ and $(x_2,y_2)=(5,-6)$. Then $m=\frac{-6-(-6)}{5 - (-4)}$.

Step3: Simplify the expression

$\frac{-6 + 6}{5+4}=\frac{0}{9}=0$.

Answer:

A. $m = 0$