Question

Which equation represents a line that is perpendicular to y=-5x+4?

Answer 1

Recall that given a line with equation

`y=mx+b`

A line perpendicular to that equation can be determined by getting the negative reciprocal of the equation

`y=-(1)/(m)+b`

Given the equation y = -5x + 4, the slope of the line is -5, get the negative reciprocal and we have

`-(1)/(m)=-(1)/(-5)=(1)/(5)`

We should have an equation with a slope of 1/5, this is represented therefore by the equation

`y=(1)/(5)x-1\text{ \lparen final answer\rparen}`