Find the slope of a line perpendicular to the line whose equation is 2y + 6x = 24

-3

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1/3

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-1/6

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none of these

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Solution

The correct option is B 1/3
The given equation is
$2 y + 6 x = 24 \Rightarrow y = - 3 x + 12$
On comparing it with the general equation of line $y = m x + c$ . it slope is $- 3$
Therefore, slope of line perpendicular to given line is $- \frac{1}{- 3}$ i.e $\frac{1}{3}$
Option C is correct.

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