Question

Use a table of values to graph each equation.

$y=-2x-3$

Short answer

The table of values to graph the given equation $y=-2x-3$is:

$x$	$y=-2x-3$	$\left(x,y\right)$
30	$y=-2\left(0\right)-3=-3$	$\left(0,-3\right)$
$-2$	$y=-2\left(-2\right)-3=1$	$\left(-2,1\right)$
$-5$	$y=-2\left(-5\right)-3=7$	$\left(-5,7\right)$
1	$y=-2\left(1\right)-3=-5$	$\left(1,-5\right)$
3	$y=-2\left(3\right)-3=-9$	$\left(3,-9\right)$

The graph of the given equation$y=-2x-3$ is:

Step-by-step solution

Step 1. Write a table of values to graph the given equation  y=−2x−3.

The table of values to graph the given equation$y=-2x-3$is:

$x$	$y=-2x-3$	$\left(x,y\right)$
0	$y=-2\left(0\right)-3=-3$	$\left(0,-3\right)$
$-2$	$y=-2\left(-2\right)-3=1$	$\left(-2,1\right)$
$-5$	$y=-2\left(-5\right)-3=7$	$\left(-5,7\right)$
1	$y=-2\left(1\right)-3=-5$	$\left(1,-5\right)$
3	$y=-2\left(3\right)-3=-9$	$\left(3,-9\right)$

Step 2. Draw the graph of the given equation y=−2x−3.

The graph of the given equation $y=-2x-3$is: