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What is the slope of a line that is perpendicular to the line y = 2x -6

A. -1/2
B. 1/6
C. -2
D. 2

User MetricMike
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2 Answers

5 votes
The answer is A! Hope this helps :)
User Mark Meuer
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2 votes

For this case we have a function of the form
y = f (x), where
f (x) = 2x-6.

We want to know the slope of a line that is perpendicular to the line given by
f (x).

By definition, if two lines are perpendicular then:


m_ {1} * m_ {2} = - 1

We know that
y = 2x-6 has slope
m_ {1} = 2

We are looking for
m_ {2}:


2 * m_ {2} = - 1\\m_ {2} = - \frac {1} {2}

Answer:

Option A


m = - \frac {1} {2}

User Russ
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5.0k points