Do two lines always intersect? Consider this as you answer the questions below.
Write a system of linear equations that does not have a solution. Write each equation in your system in
. Graph your system on graph paper and explain why it does not have a solution.
Write a system of equations using two lines that have the same slope.
Since the two lines have the same slope but different
-intercepts, they will never intersect each other, hence there is no solution.
How can you tell algebraically that a system of linear equations has no solution? Solve your system of equations from part (a) algebraically and demonstrate how you know that the system has no solution.
, there is no solution to this system of equations.