Question

Two lines, A and B, are represented by equations given below:

Answer 1

Line A 
y = x - 2

Line B
y = 3x + 4

If we equate those 2 equations
x - 2 = 3x + 4
2x = -6
x = -3
y = -5

so the answer is
(−3, −5), because the point satisfies both equations

Answer 2

The third answer of (-4, -8) is correct. Since both equations are equal to y. You can set them equal to each other instead of the Ys. Then you have x - 2 = 3x + 4. Subtract the x to the 3x to 2x. Then subtract the 4 from the right side of the equation to get -8. Divide by 2 to isolate th x and you get -2. Which you can plug into both equations to yet -4 and -8. The point not only satisfies both equations which means it's the point of interception not one that lies in the middle.