Question

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1.

A) y = 1
B) y = 3
C) y = 0
D) y = -3

Answer 1

B) y = 3

Explanation:

We want to write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1.

Recall that the line
`x=-1` is a vertical line.

This means that, the line that is perpendicular to x=-1 is a horizontal line.

A horizontal line that passes through
`(x_1,y_1)` has equation
`y=y_1`

This implies that the equation of the horizontal through (2,3) is
`y=3`