The equation of the line passing through $(- 4, 3)$ , parallel to the $3 x + 7 y + 6 = 0$

3x+7y-9=0

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3x+7y+9=0

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3x+7y+3=0

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3x+7y+12=0

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Solution

The correct option is B 3x+7y-9=0
The line parallel to $3 x + 7 y + 6 = 0$ is $3 x + 7 y + k = 0$
It passes through $(- 4, 3)$
$⟹ 3 (- 4) + 7 (3) + k = 0 - 12 + 21 + k = 0 ⟹ k = - 9$
So the required equation is $3 x + 7 y - 9 = 0$

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