Question

fill in the blank in the sentence below so that the resulting statement is true. the slope of a horizontal line is

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.

Step2: Consider points on horizontal line

For a horizontal line, the $y -$coordinates of any two points are the same, i.e., $y_2=y_1$. So $y_2 - y_1 = 0$.

Step3: Calculate the slope

Substituting $y_2 - y_1 = 0$ into the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we get $m = \frac{0}{x_2 - x_1}=0$ (assuming $x_2
eq x_1$).

Answer:

0