91Ó°ÊÓ

To find the $x$-intercept, substitute 0 for$y$ and find the value of $x$.

role="math" localid="1647329138275" $$\begin{gathered} −x+2y=3 \\ −x+2\left(0\right)=3 \\ −x+0=3 \\ −x=3 \\ x=−3 \end{gathered}$$

Therefore, the $x$-intercept is $−3$.

As, the $x$-intercept is$−3$ that means the graph of$−x+2y=3$ will intersect the $x$-axis at $\left(−3,0\right)$.

To find the $y$-intercept, substitute 0 for$x$ and find the value of $y$.

role="math" localid="1647329287395" $\begin{array}{c}−x+2y=3\\ −0+2y=3\\ 2y=3\\ y=\frac{3}{2}\end{array}$

Therefore, the $y$-intercept is $\frac{3}{2}$.

As, the $y$-intercept is$\frac{3}{2}$ that means the graph of$−x+2y=3$ will intersect the $y$-axis at $\left(0,\frac{3}{2}\right)$.

Draw the graph of$−x+2y=3$ the equation by using the information that the graph of the equation$−x+2y=3$ is a line passing through the points$\left(−3,0\right)$ and $\left(0,\frac{3}{2}\right)$.

Therefore, the graph of the equation$−x+2y=3$ is: