Question

Systems of equations with the same slopes and different y-intercepts have no solution.

Always

Sometimes

Never

Answer 1

Always. Think about this: if they have the same slopes, that means they are either the same equation or parallel. And since the y-ints are not equal, that means they are parallel. Parallel lines can never meet. See?

Answer 2

Always. Since the solution of a system of equations is the point where the lines will connect, two equations with different intercepts and the same slope will never connect and therefore never have a solution

Answer 3

And if they never intersect, there can't be a solution because a solution = where the two equations meet