Question

Which line is perpendicular to x = -5 and passes through (1, 6)?

A) x = 1
B) x = 5
C) y = 6
D) y = -5

Answer 1

The line perpendicular to x = -5 and passing through (1, 6) is C) y = 6, a horizontal line.

Step-by-step explanation:

The student is asking for the line that is perpendicular to the line x = -5 and that passes through the point (1, 6). The line x = -5 is a vertical line, and a line perpendicular to it would be a horizontal line. Which means that the slope of the line we are looking for needs to be zero because it will not rise or fall as it moves along the x-axis. Thus, the correct answer is a horizontal line that crosses the y-axis at the point y = 6, which is represented by the equation C) y = 6.