What is the perpendicular line to y=1/4x+2?

1 Answer
Dec 28, 2017

The perpendicular line must have a slope of -4, and any #y-#intercept you choose. Full solution follows.

Explanation:

The equation #y-1/4 x + 2# is a line with a slope of #1/4#

A line perpendicular to this must have a slope that is the negative reciprocal of #1/4#, meaning -4.

So, the line would be

#y--4x+b#

where #b# is the #y-#intercept of the new line, and can be whatever you like.