The graph of which of the following equations is a straight line that is parallel to line l, in the figure above?

3 y - 2 x = 0

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3 y + 2 x = 0

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3 y + 2 x = 6

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2 y - 3 x = 6

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2 y + 3 x = - 6

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Solution

The correct option is C $3 y - 2 x = 0$
In the above graph the x-intercept of line l is $- 3$ and y-intercept is $2$
BY intercept form of line
$\frac{x}{- 3} + \frac{y}{2} = 1$
$- 2 x + 3 y = 6$
Equation parallel to line l
$3 y - 2 x = λ$
Equation passses through origin then $λ = 0$
$3 y - 2 x = 0$

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