Question

Choose the equation and the slope of the line that passes through (5,-3) and

is perpendicular to the x-axis.

Answer 1

x = 5; the slope is undefined

Explanation:

A line perpendicular to the x-axis is a vertical line.

In a vertical line, every point has a different y-coordinate and the same x-coordinate. Since you want a line that is vertical and passes through the point (5, -3), then every point on the line must have x-coordinate 5 no matter what its y-coordinate is. The slope of a vertical line is undefined.

Answer: The equation is x = 5; the slope is undefined