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

2 Answers
Binayaka C.
Aug 2, 2016

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]

Tony B
Aug 2, 2016

#+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#

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