Question

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. $(0,2)$

Answer 1

The correct option is D $(0,2)$

Since, the graph of linear equation $2x+3y=6$ cuts the y-axis, x coordinate is 0.
By substituting $x=0$ in the given equation $2x+3y=6$, we get
$(2\times 0)+3y=6$
$\Rightarrow 3y=6$
$\Rightarrow y=\frac{6}{3}=2$

Hence, the point $(0,2)$ cuts the y-axis.