Question

Question #7580f

Answer 1

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.