Which graph represents this system?

3 x + 2 y = negative 6. y = negative three-halves x + 2.
On a coordinate plane, a line goes through (negative 3, negative 4) and (0, negative 6) and another line goes through (0, 2) and (3, 0).
On a coordinate plane, a line goes through (negative 2, 0) and (0, negative 3) and another goes through (0, 2) and (4, negative 4).
On a coordinate plane, a line goes through (0, 2) and (4, negative 4) and another goes through (0, negative 3) and (6, 1).
On a coordinate plane, a line goes through (0, 2) and (4, negative 4) and another goes through (0, negative 6) and (9, 0).

On a coordinate plane, a line goes through (-2,0) and (0,-3) and another goes through (0,2) and (4,-4) and this can be determined by using the given data.

Given :

3x + 2y = -6

The following steps can be used in order to determine the graph that represents the given system:

Step 1 - Write the given system of equations.

3x + 2y = -6

Step 2 - Now, determine the x and y-intercept of the equation (3x + 2y = -6).

Substitute the value of (x = 0) in the equation in order to determine the y-intercept.

2y = -6

y = -3

Substitute the value of (y = 0) in the equation in order to determine the x-intercept.

3x = -6

x = -2

Step 3 - Now, determine the x and y-intercept of the equation .

Substitute the value of (x = 0) in the equation in order to determine the y-intercept.

y = 2

Substitute the value of (y = 0) in the equation in order to determine the x-intercept.

3x = 4

x = 4/3

Therefore, the correct option is B) On a coordinate plane, a line goes through (-2,0) and (0,-3) and another goes through (0,2) and (4,-4).

For more information, refer to the link given below:

link

Step-by-step explanation:

Step 1:  Find the correct option

If you look at the attached photo, the option that fits those points is option B, therefore, the correct answer is B

 Option B

Look at the attachment:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!