Question

Graph the equation by creating a table.Equation: 3x+2y=-2

Answer 1

To create the table we first need to solve the equation for y. Then:

$\begin{gathered} 3x+2y=-2 \\ 2y=-3x-2 \\ y=-\frac{3}{2}x-1 \end{gathered}$

Now we give values to the variable x and find the corresponding values for y.

So, we have the points (-4,5), (-2,2), (0,-1), (2,4), (4.-7).

Now we graph the points in the plane:

Finally, we join the points with a straight line: