Question

Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, π). A) y = π B) y = πx C) y = 1 5 πx D) y = −5πx

Answer 1

Answer:

A) y = π

Step-by-step explanation:

$\text{The equation of a horizontal line:}\ y=a.\\\\\text{The equation of a vertical line:}\ x=a\\\\a-any\ real\ number\\\\\text{We have}\ x=-5.\ \text{It's a vertical line.}\ \text{The line that is perpendicular}\\\text{to the vertical line is a horizontal line.}\\\\\text{The line passes through the point}\ (1,\ \pi)\to x=1,\ y=\pi.\\\\\text{Therefore the equation is}\ y=\pi$