Question

Find an equation and the slope of the line that passes through (5,2) and is perpendicular to the x-axis

y=2; The slope is undefined.

x=5; The slope is 0.

y=2; The slope is 0.

x=5; The slope is undefined.

Answer 1

x = 5, the slope is undefined

Explanation:

Hello!

To be perpendicular to the x-axis, the line has to intersect at a 90° angle, causing it to be a vertical line with an undefined slope.

This removes the two middle options, as they have a slope of 0.

Consequently, looking at the two options, y=2, and x=5, y=2 would give us a parallel line to the x-axis, as we are drawing a line through all points with a y-coordinate of 2.

The correct option is x=5.

Answer 2

Solution: x = 5; The slope is undefined.

The slope that is perpendicular to the x-axis is undefined.

Explanation:

Given point: (5,2)

Since the line is perpendicular to the x-axis, then, the line is vertical.

Hence, x = 5