A coordinate plane is shown with two lines graphs. Line M has a slope of 1 and passes through the y axis at negative 2. Line N has a slope of 1 and passes through the y axis at negative 2.

Question

How many solutions are there for the pair of equations for lines M and N? Explain your answer. (5 points)

Answer 1

There are infinitely many solutions for the pair of equations for lines M and N.

Both lines M and N have the same slope of 1 and pass through the y-axis at the same point, which is at -2. This means that the two lines are parallel and will never intersect, resulting in infinitely many solutions because any point on one line will not be on the other line.

Therefore, there are infinitely many solutions for the pair of equations for lines M and N.