If the graph $2 x - 3 y + 6 = 0$ intersects the x-axis at A, then find the coordinates of A.

(3, 0)

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(0, 0)

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(-3, 0)

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(-3, 3)

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Solution

The correct option is C
(-3, 0)

The equation of line is $2 x - 3 y + 6 = 0$

To find where the line cuts the x-axis,

Put y = 0

$2 x + 6 = 0$

$2 x = - 6$

$x = - 3$

$∴ A \equiv$ (-3, 0)

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Similar questions

The graph of the linear equation 2x + 3y = 6 meets the y - axis at the point

(a) (2, 0)

(b) (3, 0)

(d) (0, 3)

y

x + 3 y = 6

2 x - 3 y = 12

2 x + 3 y - 6 = 0

4 x - 3 y - 6 = 0

x = 2

y = \frac{2}{3}

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