Question

Is the correct answer Always?
Systems of equations with the same slopes and different y-intercepts have no solution.

Always

Sometimes

Never

Answer 1

yep thats correct since they are parallel they will never intersect and give you a solution!

Answer 2

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

It's the correct statement.

Answer 3

Thanks!

Answer 4

If we have a system of equations of two variables, x and y, they can be represented as lines. If these lines have the same slope, but different y-intercepts, that means they can never intersect each other.



In the above graph, when we try to solve for the intersections of the lines y = x and y = x + 1, we get the result that 0 = 1, which means there are no solutions.