Q6. - Algebra 1

Question

Use a table of values to graph each equation.

 $3y=6+9x$

Step-by-Step Solution

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:

Step1. Given

$3y=6+9x$

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

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 3 y = 6 + 9 x .

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