Question

Where do y = -x + 8 and y = x - 2 intersect

Answer 1

(5,3)

Explanation:

To find where two lines intersect you let them equal to each other.

-x + 8 = x -2

Add 2 on both side

-x + 10 = x

Add x on both sides

10 = 2x

Divide 2 on both sides

5 = x

Now plug x into both equations

y = -5 + 8 = 3

y = 5 - 2 = 3

so y = 3

The point they intersect is (5,3)