Question 5 The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point:
A) (2, 0) B) (0, 3) C) (3, 0) D) (0, 2)
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Solution
The answer is D. Since, the graph of linear equation 2x + 3y = 6 cuts the y-axis, Put x = 0 in the given equation 2x + 3y = 6 we get 2×0+3y=6 ⇒3y=6 ⇒y=63 ∴y=2 Hence, at the point (0, 2) the given linear equation cuts the y-axis.