If a system of equations has no solution, what is true of the graph of the system?

A. The lines are parallel.

B. The lines have the same slope and y-intercept.

C. The lines have the same y-intercept and different slope.

D. The lines intersect at one point.

Question

If a system of equations has no solution, what is true of the graph of the system?

A. The lines are parallel.

B. The lines have the same slope and y-intercept.

C. The lines have the same y-intercept and different slope.

D. The lines intersect at one point.

anonymous · Answer

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Welcome to OPEnstudy!

imstuck · Answer

Just another thing to remember about lines in a plane, the solution is where the lines intersect each other.  Data_LG2 is showing you that these lines he drew, which are parallel too one another, will never cross or touch. Therefore, they will have no solution.