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

y = 7

Step-by-step explanation:

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

A perpendicular line to it will be a horizontal line parallel to the x - axis with equation

y = c

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

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

y = 7 ← equation of perpendicular line