What is the slope of the line perpendicular to $y=-10/3x +12$ ?

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Answer 1 · 2018-07-25T20:38:51

The slope perpendicular is $+3/10$

If two lines are perpendicular, then there is a specific relationship between their slopes:

One slope is the negative reciprocal of the other.

The product of their slopes is $-1$

if one is $a/b$ , then the other is $-b/a$

For example. $2/3$ is perpendicular to $-3/2$

$2/3 xx-3/2 =-1$

In this case the slope is $-10/3$

The slope perpendicular is $+3/10$

$-10/3 xx 3/10 =-1$

What is the slope of the line perpendicular to y=-10/3x +12 y=-10/3x +12 ?