Question

Use a table of values to graph each equation.

$3y=6+9x$

Short answer

The table of values to graph the given equation $3y=6+9x$is:

$x$	$y=3x+2$	$\left(x,y\right)$
$3y=6+9x$	$y=3\left(0\right)+2=2$	$\left(0,2\right)$
$-1$	$y=3\left(-1\right)+2=-1$	$\left(-1,-1\right)$
$-2$	$y=3\left(-2\right)+2=-4$	$\left(-2,-4\right)$
1	$y=3\left(1\right)+2=5$	$\left(1,5\right)$
2	$y=3\left(2\right)+2=8$	$\left(2,8\right)$

The graph of the given equation $3y=6+9x$is:

Step-by-step solution

Step1. Given

$3y=6+9x$

Step2. Write a table of values to graph the given equation 3y=6+9x.

It can be noticed that:

$3y=6+9x$

$$\begin{gathered} y=\frac{6+9x}{3} \\ y=2+3x \\ y=3x+2 \end{gathered}$$

The table of values to graph the given equation $3y=6+9x$is:

$x$	$y=3x+2$	$\left(x,y\right)$
0	$y=3\left(0\right)+2=2$	$\left(0,2\right)$
$-1$	$y=3\left(-1\right)+2=-1$	$\left(-1,-1\right)$
$-2$	$y=3\left(-2\right)+2=-4$	$\left(-2,-4\right)$
1	$y=3\left(1\right)+2=5$	$\left(1,5\right)$
2	$y=3\left(2\right)+2=8$	$\left(2,8\right)$

Step3. Draw the graph of the given equation 3y=6+9x.

The graph of the given equation $3y=6+9x$is: