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
find the point of intersection A
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).