The line $2x - 3y = 6$ intersects $x - axis$ at

The line $2x - 3y = 6$ intersects $x - axis$ at:
(A) (0, - 2) 
(B) (0, 3) 
(C) (- 2, 0) 
(D) (3, 0) 
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Answers 1

To find the x-intercept of the line $ \displaystyle 2x - 3y = 6 $, we set $ \displaystyle y = 0 $ and solve for $ \displaystyle x $.

Substituting $ \displaystyle y = 0 $ into the equation:

$ \displaystyle 2x - 3(0) = 6 $

$ \displaystyle 2x = 6 $

$ \displaystyle x = 3 $

Thus, the line intersects the x-axis at $ \displaystyle (3,0) $.
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