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 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

Tardigrade Admin · Accepted Answer

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

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

$3 x - 4 y + 18 = 0$

$3 x - 4 y - 18 = 0$

$3 x + 4 y + 18 = 0$

$3 x + 4 y - 18 = 0$

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

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

3x−4y+18=0

3x−4y−18=0

3x+4y+18=0

3x+4y−18=0