Question

Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.

x=3
y=5
x=2
y=3

Answer 1

x = 3

Explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore 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 (3, 5) with x- coordinate 3 , thus

x = 3 ← equation of perpendicular line