The solution to the system y = -2x - 2 and y = 2x - 6 is the point of intersection at -1, 0. This means the two lines cross on the coordinate plane at x = -1 and y = 0.
The solution to the system of equations y = -2x - 2 and y = 2x - 6 is the point where the two lines intersect on the coordinate plane. To find this point, set the two equations equal to each other:
-2x - 2 = 2x - 6
Solving for x, you get x = -1. Substitute this \(x\) value into either equation (let's use the first one):
y = -2(-1) - 2 = 0
So, the solution is x = -1 and y = 0, representing the coordinates \((-1, 0)\) where the two lines intersect.
The red dot on the graph marks the intersection point, revealing the values of x and y that satisfy both equations and solve the system.