The point (3, -2) lies on the line _____.

2x + 3y = 0

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2x + 3y -4 = 0

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3x + 2y = 0

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x - 2y = 2

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Solution

The correct option is A 2x + 3y = 0
A point lies on a line if its coordinates satisfy the equation of the line.

Substituting (3, -2) in the equations,

1) $2 x + 3 y = 0$
$\Rightarrow 2 (3) + 3 (- 2) = 0 satisfies the equation$

2) $2 x + 3 y - 4 = 0$
$\Rightarrow 2 (3) + 3 (- 2) - 4 \neq 0 does not satisfy the equation$

3) $3 x + 2 y = 0$
$\Rightarrow 3 (3) + 2 (- 2) \neq 0, does not satisfy the equation$

4) $x - 2 y = 2$
$\Rightarrow 3 - 2 (- 2) \neq 0 does not satisfy the equation$

Suggest Corrections

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