Answer :

The equation to graph is

[tex]y=\frac{7}{2}x+3[/tex]

Let's point plot.

• When ,x = 0,,

[tex]\begin{gathered} y=\frac{7}{2}(0)+3 \\ y=3 \end{gathered}[/tex]

• When ,x = 2,,

[tex]\begin{gathered} y=\frac{7}{2}(2)+3 \\ y=10 \end{gathered}[/tex]

• When ,x = -2

[tex]\begin{gathered} y=\frac{7}{2}(-2)+3 \\ y=-4 \end{gathered}[/tex]

So, the three points are (0,3), (2,10), and (-2,-4)

We will graph these 3 points on the coordinate plane and draw a smooth line thorugh them.

The graph is shown below:

View image LundenT81396