Question #7580f

1 Answer
MeneerNask
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.

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