Question

find the slope, if it exists, of the line containing the pair of points. (-14,-11) and (-18,-16) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the slope is. (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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-14,-11)$ and $(x_2,y_2)=(-18,-16)$.

Step3: Substitute values into formula

$m=\frac{-16-(-11)}{-18 - (-14)}=\frac{-16 + 11}{-18+14}=\frac{-5}{-4}=\frac{5}{4}$.

Answer:

A. The slope is $\frac{5}{4}$