Question #7580f

1 Answer
May 30, 2017

Let's first rewrite into y=mx+b form:

Explanation:

y=+x-3
y=-x+8

One thing is for sure: they are not parallel (slopes of +1 and -1).

Let's see if they intersect:
x-3=-x+8->
x's to one side, numbers to the other (add x+3 on both sides):
x-cancel3+x+cancel3=-cancelx+8+cancelx+3->
2x=11->x=5 1/2->y=x-3=2 1/2

They intersect in (5 1/2,2 1/2) and because the slopes multiply to -1, this is a right-angle intersection.