Question

If 2 linear equations in a system have the same slope, but different y intercepts, what will the solution be?
A. one solution
B. no solution
C. infinitely many solutions
D. none of the above

Answer 1

@tester97

Answer 2

Answer: b. no solution

If two lines have the same slope, but with different y-intercepts, they are parallel non-intersecting lines. These lines never intersect, which means that there will be no common point between them, which means no solution.

If two lines have the same slope, but with the same y-intercept, they are parallel and are actually parts of the same line. This means that they overlap, which means that the points on one line are also the points on the other, which means that there's an infinite number of solutions.