Question

Jake and erica were solving a system of equations. They both noticed that the two lines had the same slope. Jake said that because each line in the system had the same slope, the two lines had to be the same, which meant there were infinitely as many solutions to the solutions to the system. Erica disagreed, and said they ahould also look at the y-intercepts before determining how many solutions there were. Who is correct?

Answer 1

Since the 2 lines have the same slope, then the lines are parallel and never intersect. Thus there is no solution to the system of equations

Neither Jake nor Erica are correct.

Answer 2

Erica

Explanation:

Two lines with the same (defined) slope will only have infinite solutions if their y-intercepts are the same. Otherwise, the number of solutions (points on both lines) is zero.