Megan and sam were solving a system of equations. they both noticed that the two lines had different slopes. megan said that because each line in the system had different slopes, the two lines had to intersect, which meant there was one solution to the system. sam disagreed, and said they should also look at the y-intercepts. who is correct?

a. megan is correct. when two lines have different slopes, they must intersect, producing one solution.
b. neither person makes a valid argument.
c. sam is correct. when two lines intersect, their y-intercepts determine how many solutions there will be.