Question

Vicky is solving an equation where both sides are linear expressions. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

Answer 1

The answer is Intersection 1

Explanation:

Answer 2

If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.

Answer: 1 intersection