Question:
The graph of the linear equation 2x + 3y = 6 meets the y-axis at the point
(a) (2, 0)
(b) (3, 0)
(c) (0, 2)
(d) (0, 3)
Solution:
If he graph of the linear equation 2x + 3y = 6 meets the y-axis, then x = 0.
Substituting the value of x = 0 in equation 2x + 3y = 6, we get
$2(0)+3 y=6$
$\Rightarrow 3 y=6$
$\Rightarrow y=\frac{6}{3}$
$\Rightarrow y=2$
So, the point of meeting is (0, 2).
Hence, the correct answer is option (c).
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