The graph shows two lines, Q and S.

Question

A coordinate plane is shown with two lines graphed. Line Q has a slope of one half and crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2.
How many solutions are there for the pair of equations for lines Q and S? Explain your answer.

Answer 1

There is only one solution for the pair of equations for lines Q and S.

This is because the two lines have the same slope of one half, meaning they are parallel. Since they have different y-intercepts, they will never intersect and therefore only have one solution, where they never intersect.