Question

Find the slope of the line satisfying the following conditions.vertical through (8, - 2)Select the correct choice below and fill in any answer boxes within your choice.O A. The slope is(Type an integer or a simplified fraction.)O B. The slope is undefined.

Answer 1

The rule of the slope that passes through 2 lines is

$m=\frac{y_2-y_1}{x_2-x_1}$

Since the vertical line has the same x-coordinates of all points lie on it, then

$x_2-x_1=0$

In any fraction, if the denominator = 0, the answer will be undefined

Since the line is vertical and passes through the point (8, -2), then

All points lie on it have the x-coordinate = 8

Then the slope of the line is undefined

The answer is B