First slide

Equation of line in Straight lines

Question

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

Moderate

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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