What is the slope of a line perpendicular to a line with a slope of $3$ ?

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Answer 1 · 2018-07-11T09:37:48

$m_1 = 3$

$m_2 = -1/3$

If two lines are perpendicular then the product of their slopes is $-1$ .

This means one slope is the negative reciprocal of the other.

$a/b xx-b/a = -1$

So if one slope is $3/1$ , the slope perpendicular would be $-1/3$

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

One slope will be positive and one will be negative.

One will be steep and the other will be gentle.

What is the slope of a line perpendicular to a line with a slope of 33?