Question

The graph of the linear equation$2\mathrm{x}+3\mathrm{y}=6$cuts the $\mathrm{y}-\mathrm{axis}$ at the point

• A. $(2,0)$
• B. $(0,3)$
• C. $(3,0)$
• D. $(0,2)$

Answer 1

The correct option is D

$(0,2)$

Solutions of Linear Equation in 2 Variables on a Graph:

Given:

$2\mathrm{x}+3\mathrm{y}=6$

It is given that the equation cuts the$\mathrm{y}-\mathrm{axis}$which means that $\mathrm{x}$-co-ordinate is $0$

Substituting $\mathrm{x}=0$in the linear equation

$\begin{array}{rcl}2\mathrm{x}+3\mathrm{y}& =& 6\\ 2\left(0\right)+3\mathrm{y}& =& 6\\ 0+3\mathrm{y}& =& 6\\ 3\mathrm{y}& =& 6\\ \mathrm{y}& =& \frac{6}{3}\\ & =& 2\end{array}$

So the coordinates are$(0,2)$

Therefore, the correct option is D