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)

Answer 1

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

$$\begin{gathered} 2\left(0\right)+3y=6 \\ \Rightarrow 3y=6 \\ \Rightarrow y=\frac{6}{3} \\ \Rightarrow y=2 \end{gathered}$$

So, the point of meeting is (0, 2).

Hence, the correct answer is option (c).