Question

What is a quick way to tell other 8th graders how to tell if an equation will have one solution, no solution, or infinite solutions? Explain how you know and why the equation will have the solution(s) that it does.

Answer 1

if an equation has the same slope and y intercept the equations will have infinite many solutions. If both equations have the same slope but different y intercept the equations will have no solutions. if both equations are positive or negative and have different slopes and different y intercepts then they will most likely have one solution. (example: y=-2x+3 and y= -4x+4, both slopes are negative so there will be one solution, same goes for if both slopes are positive.

Hope this helps!