Question

Draw the graph of the equation:

$x+2y=3$

Answer 1

Step 1: Draw the table for a graph

The given equation can be written as,

$$\begin{gathered} 2y=x-3 \\ y=\frac{x-3}{2} \end{gathered}$$

$x$	$-1$	$0$	$1$
$y$	$-2$	$\frac{-3}{2}$	$-1$

$$\begin{gathered} \mathrm{when}\mathrm{x}=-1\mathrm{then}\mathrm{y}=\frac{-1-3}{2}=\frac{-4}{2}=-2. \\ \mathrm{when}\mathrm{x}=0\mathrm{then}\mathrm{y}=\frac{0-3}{2}=\frac{-3}{2}. \\ \mathrm{when}\mathrm{x}=1\mathrm{then}\mathrm{y}=\frac{1-3}{2}=\frac{-2}{2}=-1. \end{gathered}$$

Step 2: Plot the points in the graph:

points to the plot are $(-1,2),(0,\frac{-3}{2}),(1,-1).$

Hence, the graph for the equation is drawn.