Question

find the slope of the line that goes through the given points.
(7, -7) and (7, -1)

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 fraction. simplify your answer.)
b. the slope is undefined.

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 $(x_1,y_1)=(7,-7)$ and $(x_2,y_2)=(7,-1)$

Step3: Substitute into formula

$m=\frac{-1-(-7)}{7-7}=\frac{6}{0}$

Step4: Evaluate the expression

Division by 0 is undefined.

Answer:

B. The slope is undefined.