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.
How many solutions are there for the pair of equations for lines M and N? Explain your answer. (5 points)
There are infinitely many solutions for the pair of equations for lines M and N. This is because the two lines have the same slope and y-intercept, meaning they are parallel and will never intersect. Therefore, no matter what value of x you choose, the y-values of the two lines will always be different, indicating there are no common solutions for the pair of equations.
