Question

How many times do the graphs of
the equations y = 2x + 4 and
y = -x + 4 intersect?​

Answer 1

The graphs intersect one time

Explanation:

we have

`y=2x+4` ----> equation A

`y=-x+4` ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The graphs intersect only at one point

so

The system has only one solution

The intersection point is (0,4)

therefore

The solution is x=0, y=4