Question

Which equation represents the line that passes through the point (2,6) and is perpendicular to the line x = 4?

A) y = 4
B) y = 6
C) x = 6
D) x = 2

Answer 1

The equation of the line that passes through (2,6) and is perpendicular to x = 4 is y = 6.

Step-by-step explanation:

To find the equation of a line that is perpendicular to the line x = 4 and passes through the point (2,6), we need to determine the slope of the line x = 4 and then find the negative reciprocal of that slope. Since the line x = 4 is a vertical line, it has an undefined slope. Any line that is perpendicular to an undefined slope line will have a slope of 0. Therefore, the equation of the line that passes through (2,6) and is perpendicular to x = 4 is y = 6 (option B).