What is the slope of a line perpendicular to this line? Y=3/4x

2 Answers
May 4, 2018

-4/3

Explanation:

Here

y=mx

is the given eq, with m being the slope of the given line. Therefore, the slope of this line is 3/4 (m).

But the slope of the line perpendicular to the given line is =-1/m, so the answer is =-1/(3/4)

which is =-4/3.

May 4, 2018

The perpendicular slope is -4/3.

Explanation:

Given:

y=3/4x

The slope that is perpendicular to 3/4 is its negative reciprocal, which is -4/3.

Mathematically

m_1m_2=-1,

where m_1 is the given slope and m_2 is the perpendicular slope.

3/4m_2=-1

Multiply both sides by 4/3.

color(red)cancel(color(black)(4))^1/color(red)cancel(color(black)(3))^1xxcolor(red)cancel(color(black)(3))^1/color(red)cancel(color(black)(4))^1m_2=-1xx4/3

Simplify.

m_2=-4/3