The equation of line m is 4x + 5y = -2. What is the slope of a line that is perpendicular to line m?

Question

A. 4/5
B. -5/4
C. 2/5
D. 5/4

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Answer 1 · 2017-02-05T16:45:22

D

Product of slopes of two per[endicular lines is #-1#. Hence, we should first find slope of given line.

To find the slope of #4x+5y=-2#

let us convert it into slope intercept form i.e.

#5y=-4x-2#

i.e. #y=-4/5x-2/5#

Hence, slope of line perpendicular to it will be

#(-1)/(-4/5)#

= #-1xx5/-4#

= #5/4#

Hence, answer is D.