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Distance between Parallel Lines

Equation of l...

Question

Equation of line passing through $(2, 1)$ and parallel to $4 x - 7 y = 9$

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Solution

The equation of line parallel to $4 x - 7 y = 9$ is $4 x - 7 y = k$
it is passing through $(2, 1)$
$⟹ 4 (2) - 7 (1) = k k = 1$
So the equation of line is $4 x - 7 y = 1$

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