Question

The graph shows two lines, M and N.

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.

Answer 1

Line M and line N are the same line, since they have the same slope and y-intercept. Therefore, there are infinitely many solutions for the pair of equations, since every point on the line satisfies both equations.