Question

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.

A) y = 4
B) x = 5
C) y = 7
D) x = 7

Answer 1

The equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4 is y = 7.

Step-by-step explanation:

The equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4 can be determined using the slope of the given line. The line x = 4 is a vertical line, so its slope is undefined. Any line perpendicular to a vertical line will have a slope of 0. Therefore, the equation of the line that passes through (5, 7) and is perpendicular to x = 4 is y = 7.