Question

Choose the equation and the slope of the line that passes through (4,-2) and is perpendicular to the X-axis.

Answer 1

C. Equation: x=4

D. Slope: undefined

Explanation:

If a line is perpendicular to the x-axis, then it is a vertical line because the x-axis is horizontal.

The slope of a vertical line is undefined.

The equation of a vertical line through
`(x_1,y_1)` is
`x=x_1`

Since the vertical line passes through (4,-2), its equation is

`x=4`