The equation of the line with slope $\frac{3}{2}$ and which is concurrent with the lines $4 x + 3 y - 7 = 0$ and $8 x + 5 y - 1 = 0$ is

3 x + 2 y - 63 = 0

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3 x + 2 y - 2 = 0

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2 y - 3 x - 2 = 0

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3 x - 2 y + 50 = 0

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Solution

The correct option is D $3 x - 2 y + 50 = 0$
Let the equation of line be $y = \frac{3}{2} x + c$
$2 y = 3 x + 2 c$
$3 x - 2 y + 2 c = 0$
Since it is concurrent with given two lines.

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Similar questions

The equation of the line with slope $- \frac{3}{2}$ and which is concurrent with the lines $4 x + 3 y - 7 = 0$ and $8 x + 5 y - 1 = 0$ is

x + 2 y - 3 = 0, 3 x + 4 y - 7 = 0, 2 x + 3 y - 4 = 0, 4 x + 5 y - 6 = 0

2 x + 3 y + 5 = 0

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x + 2 y - 3 = 0, 3 x + 4 y - 7 = 0

2 x + 3 y - 4 = 0, 4 x + 5 y - 6 = 0

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