Question

The equation of line m is 4x+5y=−2.

What is the slope of a line that is perpendicular to line m?



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Answer 1

`4x + 5y = - 2 \\ 5y = - 2 - 4x \\ y = ( - 2)/(5) - (4x)/(5) \\`
so the slope of the line m is a=-4/5
let a' be the slope of the line perpendicular to m ,
a.a'=-1 ( Perpendicular lines )

-4/5 x a'=-1
a'=

`( - 1)/( ( - 4)/(5) ) = (5)/(4)`

Answer 2

The slope of a line that is perpendicular to line m is 5/4.

(I have taken the test and know that this is the correct answer.)