Step-by-step explanation:

The equation you provided, 3x + 2y = -6, represents a linear equation in two variables, x and y. To graph this equation, we can follow a few steps:

Step 1: Choose values for x and solve for y:

Let's choose three values for x and solve for the corresponding y-values. For simplicity, we can choose x = -2, 0, and 2.

When x = -2:

3(-2) + 2y = -6

-6 + 2y = -6

2y = 0

y = 0

So, when x = -2, y = 0.

When x = 0:

3(0) + 2y = -6

0 + 2y = -6

2y = -6

y = -3

So, when x = 0, y = -3.

When x = 2:

3(2) + 2y = -6

6 + 2y = -6

2y = -12

y = -6

So, when x = 2, y = -6.

Step 2: Plot the points on a coordinate plane:

Now, we can plot the points (-2, 0), (0, -3), and (2, -6) on a coordinate plane.

Step 3: Connect the points:

Finally, we can connect the points with a straight line. Since we only have three points, the line will pass through all of them.

The resulting graph will be a straight line that passes through the points (-2, 0), (0, -3), and (2, -6).