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

2 Answers
May 4, 2018

Answer:

#-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

Answer:

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#