Question

what is the slope of the line that passes through the points (-4, -6) and (1, -6)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.
Let $(x_1,y_1)=(-4,-6)$ and $(x_2,y_2)=(1,-6)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{-6-(-6)}{1 - (-4)}$.
Simplify the numerator: $-6-(-6)=-6 + 6=0$.
Simplify the denominator: $1-(-4)=1 + 4=5$.
So $m=\frac{0}{5}$.

Step3: Calculate the slope

$\frac{0}{5}=0$.

Answer:

$0$