When lines y=x+8 and y=-3x intersect at point A, and line y=x+8 and the x axis intersect at point B, solve the following problems

Question

find the point of intersection A

Answer 1

To find the point of intersection A, we need to set the two equations equal to each other and solve for x and y.

Since y = x + 8 and y = -3x, we set x + 8 = -3x.

Adding 3x to both sides, we get:
4x + 8 = 0

Subtracting 8 from both sides, we get:
4x = -8

Dividing by 4, we find:
x = -2

Now, we substitute x = -2 into one of the equations. Using y = x + 8, we have:
y = -2 + 8
y = 6

Therefore, the point of intersection A is (-2, 6).