What is the slope of the line perpendicular to $y=-12/5x +15$ ?

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Answer 1 · 2016-01-04T22:02:20

$5/12$

The slope of this line is $-12/5$ .

Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by $-1$ and flip the numerator and denominator.

Hence the opposite reciprocal of $-12/5$ and the slope of a line perpendicular to a line with a slope of $-12/5$ is $5/12$ .

What is the slope of the line perpendicular to y=-12/5x +15 y=-12/5x +15 ?