Question

How do you find the slope that is perpendicular to the line `y = (-4/5)x + 1`?

Answer 1

The slope of the perpendicular line is `5/4`

Explanation:

Here the slope of the line is `m_1=-4/5`. Let the slope of the perpendicular line be `m_2`. We know condition of perpendicularity of two lines is `m_1*m_2=-1 or m_2= -1/m_1=-1/(-4/5)=5/4`[Ans]

Answer 2

`+5/4`

Explanation:

Consider the standard form equation of: `" "y=mx+c`
where `m` is the gradient (slope).

A line perpendicular to this has the gradient `" "(-1)xx1/m = -1/m`

In your equation `m=-4/5`

So `-1/m = +5/4`