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 far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse