Find an equation of the line that satisfies the given conditions.

Question

Find an equation of the line that satisfies the given conditions.Through (8, 2);  perpendicular to the line y = 7

Answer 1

Lorra, this is simpler than it seems. y = 8 is a horizontal line. What's perpendicular to a horizontal line?? A vertical line! The vertical line that passes through (8,2) is x = 8.

 

Boom.

Answer 2

x=8

 

x=8 is a vertical line passing through 8 on the x-axis. It's perpendicular to y=7 and passes through (8,2)

Answer 3

The line y=7 is horizontal.  So, a line perpendicular to y = 7 would have to be vertical.  The vertical line through the point (8,2) has equation

x = 8.