determine the equation and slope perpendicular to the x-axis and passes through the point (6 , -8).

Answer 1

Answer: x=6, slope=0

If a line is perpendicular to the x-axis, then it will be a straight line going up and down, as a line that is perpendicular to another line will cross it at a right angle.

All lines that are straight and vertical are going to be x=? (any number on the x-axis), just as y=? (any number on the y-axis) will be a straight horizontal line.

In order for the line to pass through the point (6,-8), the vertical line would need to run through 6 on the x-axis, hitting all points starting with 6 as the x-value, including (6, -8).

Therefore, x=6. A straight line vertically or horizontally will have no slope, so the slope is 0.