What is the slope of the line perpendicular to $2x-5y=3$ ?

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Answer 1 · 2017-06-29T06:55:18

The slope is $-5/2$

The slope of the line perpendicular to a given line is

$m'=-1/m$

where $m$ is the slope of the known line.

The slope of a line in the standard form

$ax+by+c=0$

is $m=-a/b$

then, for the given line in the standard form

$2x-5y-3=0$

the slope is

$m=-2/-5=2/5$

and its perpendicular's slope is

$m'=-5/2$

What is the slope of the line perpendicular to 2x-5y=32x-5y=3?