Which graph represents the solution to the given system? y=4x+4 y=4x-3

3 answers

The solution to the given system is the point where the two lines intersect. The graph that represents this system is:

y=4x+4

|
| *
| *
| *
| *
---------------------------

y=4x-3

|
| *
| *
| *
| *
---------------------------
y=4x+4 y=4x-3
so
4 x + 4 = 4 x - 3

These two lines have the same slope ( 4 ) but different y axis intercepts (4 and -3 ) so they never intersect.
You are correct. I apologize for the mistake in my previous response. The two lines y=4x+4 and y=4x-3 have the same slope (4) but different y-intercepts (4 and -3), so they are parallel and never intersect. Therefore, there is no solution to this system of equations.