Question

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

• A. $3x - 4y + 18 = 0$
• B. $3x - 4 y - 18 = 0$
• C. $3x + 4 y + 18 = 0$
• D. $3x + 4 y - 18 = 0$

Answer 1

Answer: (A)

$3x - 4y + 18 = 0$

Answer 2

Equation of line parallel to $3x - 4y + 2 = 0$ is $3x - 4y + k = 0 \,\,\,\,\,\dots(1)$ (1) passes through (-2, 3) $\Rightarrow \, 3(-2) - 4(3) + k = 0$ $\Rightarrow \, -6 - 12 + k = 0$ $\Rightarrow \,k = 18$ $\therefore$ Equation of the required line is $3x - 4y + 18 = 0$