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

Question:

The graph of the linear equation 2x + 3= 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 + 3= 6 meets the y-axis, then x = 0.

Substituting the value of x = 0 in equation 2x + 3= 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).