To find the point of intersection between the two equations, we can set them equal to each other and solve for x and y:
-x + 6 = 3x - 2
Adding x to both sides:
6 = 4x - 2
Adding 2 to both sides:
8 = 4x
Dividing both sides by 4:
2 = x
Now, substitute this value back into one of the original equations to solve for y:
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the point of intersection is (2, 4).
y = -x + 6
y = 3x - 2
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