What is the slope of the line perpendicular to $y=-3/2x+15$ ?

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Answer 1 · 2016-03-04T03:13:53

The slope of a perpendicular line is equal to the negative reciprocal of the slope of the given equation

We know that the slope of this equation is $-3/2$

So, we take the reciprocal, which means that we flip the fraction over

$-2/3$

But we take the negative reciprocal, so we add a negative sign

$- (-2/3)$

This is equal to $2/3$

So the slope of the perpendicular line is $2/3$

What is the slope of the line perpendicular to y=-3/2x+15 y=-3/2x+15 ?