Question

What is the slope of a line that is perpendicular to y=3/4x Show your work.

Answer 1

y=3/4x
as you know y = mx + b so slope = m
in this case y=3/4x slope m = 3/4
perpendicular lines, slope is opposite and reciprocal
so perpendicular line has slope m = -4/3

answer
slope = -4/3

Answer 2

The slope of the line perpendicular to y = 3/4 x is -4/3 because the slope of lines perpendicular to each other need to be negative reciprocals of each other.