The equation of the st. line which is perpendicular to $7 x - 8 y = 6$ is

8 x + 7 y = 3

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7 x + 8 y = 3

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8 x - 7 y = 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 x - 8 y = 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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Solution

The correct option is A $8 x + 7 y = 3$
Slope of a line $a x + b y + c = 0$ is $- \frac{a}{b}$
So, slope of given line $= m = - \frac{7}{- 8}$

So, slope of the line perpendicular to it will be $- \frac{1}{m} = - \frac{8}{7}$
Among the options, $8 x + 7 y = 3$ has the slope $= - \frac{8}{7}$

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