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 is perpendicular to x = 4 and passes through the point (5, 7) is y = 7.

Step-by-step explanation:

The student is asking to find the equation of a line that is perpendicular to x = 4 and passes through the point (5, 7). The line x = 4 is a vertical line, which means its slope is undefined. A line perpendicular to a vertical line is a horizontal line, which has a slope of 0. Therefore, the equation of the line we are looking for will have a form y = k, where k is the y-coordinate of the point through which it passes. Since the point given is (5, 7), the equation of the perpendicular line is y = 7, which corresponds to option c from the provided choices.