Calculate the coordinates of the intersection points of the lines 2x + 3y = -12 and 4x-6y = 0

To find the point of intersection of the lines, you need to solve the system of equations:

2x + 3y = -12; 4x – 6y = 0.

Multiply the first equation by 2: 4x + 6y = -24.

Let’s solve the system by the addition method: 4x + 6y + 4x – 6y = -24 + 0.

8x = -24.

x = -3.

Find the value of y by substituting x = -3 in any of the equations.

4x – 6y = 0; 4 * (-3) – 6y = 0; -12-6y = 0; -6y = 12; y = -2.

The intersection point of the graphs will be (-3; -2).