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
1. Find the coordinates of point A, where the lines y=x+8 and y=-3x intersect.
To find the coordinates of point A, we can set y equal to each other in the two equations:
x + 8 = -3x
4x = -8
x = -2
Now that we have the x-coordinate of point A, we can plug it back into one of the equations to find the y-coordinate:
y = -2 + 8
y = 6
Therefore, point A is (-2, 6).
2. Find the coordinates of point B, where the line y=x+8 intersects the x-axis.
To find the coordinates of point B, we can set y equal to 0 in the equation y=x+8:
0 = x + 8
x = -8
Therefore, point B is (-8, 0).