Question

A) You have two linear equations. You can see from their equations that they have DIFFERENT slopes. How many points of intersection will the lines most likely have? Is it possible for there to be more points of intersection, or fewer points of intersection, than that? Explain.

B) You have two linear equations. You can see from their equations that they have the SAME slope. How many points of intersection will the lines most likely have? Is it possible for there to be more points of intersection, or fewer points of intersection, than that? Explain.

Answer 1

A) Slopes are different, then they must meet at some point, which will be the point of intersection of those two equations.

They can't meet at more than one point, 'cause after that they will propagate in their corresponding directions.

B.) Slopes are same, in such case, lines are parallel, Hence, they won't intersect. They will propagate infinitely in same direction

Hope this helps!