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Equation of a Line Perpendicular to a Given Line

If lines l1...

Question

If lines $l_{1} ⊥ l_{2}$ and the the slope of $l_{1}$ is $\frac{1}{2}$ , then the the slope of $l_{2}$ is .......... .

A

2

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B

- 2

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C

1

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D

- 1

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Solution

The correct option is C $- 2$
Fact: Two line are perpendicular if product of their slope is $- 1$
Let slope of $l_{2}$ is $m$
So $m \times \frac{1}{2} = - 1$
$∴ m = - 2$

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