Question

Complete the table, to draw the graph of line 2y = 3x + 2

x	3	$\frac{7}{3}$	−2
y

Answer 1

$$\begin{gathered} 2y=3x+2 \\ \Rightarrow y=\frac{3x+2}{2}....\left(1\right) \\ \mathrm{Substituting}x=3\mathrm{in}\mathrm{equation}\left(1\right),\mathrm{we}\mathrm{get}: \\ y=\frac{11}{2}=5.5 \\ \mathrm{Substituting}x=\frac{7}{3}\mathrm{in}\mathrm{equation}\left(1\right),\mathrm{we}\mathrm{get}: \\ y=\frac{9}{2}=4.5 \\ \mathrm{Substituting}x=-2\mathrm{in}\mathrm{equation}\left(1\right),\mathrm{we}\mathrm{get}: \\ y=-2 \end{gathered}$$


The table with the values of x and y is shown below:

x	3	$\frac{7}{3}$	$-$2
y	5.5	4.5	$-$2

The graph of the equation 2y = 3x + 2 is as shown: