Equation of the line which makes an intercept of length 2 on positive x-axis and an intercept of length 3 on the negative y-axis is

Equation of the line which makes an intercept of length $2$ on positive $x -$ axis and an intercept of length $3$ on the negative $y -$ axis is

A
$2 x - 3 y + 6 = 0$
B
$3 x - 2 y - 6 = 0$
C
$2 x - 3 y - 6 = 0$
D
$3 x - 2 y + 6 = 0$

Solution:

Equation of the required line is $\frac{x}{2} + \frac{y}{- 3} = 1$
$\Rightarrow 3 x - 2 y = 6$

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