The equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through (-2, 3) is

Question

The equation of the line parallel to the line $3 x - 4 y + 2 = 0$ and passing through $(- 2, 3)$ is

Smart Achievers · Accepted Answer

(1)

$Given line is 3 x - 4 y + 2 = 0$ ...(i)

$Equation of the line parallel to the (i) is$ $3 x - 4 y + k = 0$ ...(ii)

$∴$ $Line (ii) passes through the point (- 2, 3) .$

$∴$ $3 (- 2) - (4 \times 3) + k = 0 \Rightarrow k = 18$

$∴$ $3 x - 4 y + 18 = 0$ $is the required equation of line.$

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