Which graph represents the solution to the given system? y=4x+4 y=4x-3
The solution to the given system is the point where the two lines intersect. The graph that represents this system is:
y=4x+4
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| *
| *
| *
| *
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y=4x-3
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| *
| *
| *
| *
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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.
To find out which graph represents the solution to the given system, we need to find the point(s) where the two lines intersect.
The given system is:
y = 4x + 4 ---- (1)
y = 4x - 3 ---- (2)
We can see that both equations have the same slope (4), which means the lines are parallel. Parallel lines never intersect, so the given system has no solution.
Therefore, there will be no graph that represents the solution to this system.