Question

Use a table of values to graph each equation.

$y=2x+2$

Short answer

The table of values to graph the given equation $y=2x+2$is:

$x$	$y=2x+2$	$\left(x,y\right)$
10	$y=2\left(0\right)+2=2$	$\left(0,2\right)$
$-2$	$y=2\left(-2\right)+2=-2$	$\left(-2,-2\right)$
$-5$	$y=2\left(-5\right)+2=-8$	$\left(-5,-8\right)$
1	$y=2\left(1\right)+2=4$	$\left(1,4\right)$
3	$y=2\left(3\right)+2=8$	$\left(3,8\right)$

The graph of the given equation $y=2x+2$is:

Step-by-step solution

Step 1. Write a table of values to graph the given equation  y=2x+2.

The table of values to graph the given equation $y=2x+2$is:

$x$	$y=2x+2$	$\left(x,y\right)$
0	localid="1647940093367" $y=2\left(0\right)+2=2$	$\left(0,2\right)$
$-2$	$y=2\left(-2\right)+2=-2$	$\left(-2,-2\right)$
$-5$	$y=2\left(-5\right)+2=-8$	$\left(-5,-8\right)$
1	$y=2\left(1\right)+2=4$	$\left(1,4\right)$
3	$y=2\left(3\right)+2=8$	$\left(3,8\right)$

Step 2. Draw the graph of the given equation y=2x+2.

The graph of the given equation $y=2x+2$is: