What is the equation of the line that passes through (2, 7) and is perpendicular to y = - 5

x = 2

Step-by-step explanation:

y = - 5 is a horizontal line parallel to the x - axis.

A line perpendicular to it will be a vertical line parallel to the y - axis with equation

x = c

Where c is the value of the x - coordinates the line passes through.

The line passes through (2, 7) with an x - coordinate of 2, thus

x = 2 ← is the equation of the perpendicular line