For a system of equations of the form y=mx+b where m is the slope and b is the y-intercept, the system will have (One Solution, No Solution, Infinite Solutions) if the slopes are different.
1 answer
If the slopes are different, then the lines represented by the equations will not be parallel. This means that the lines will intersect at a single point, giving us one solution to the system of equations. Therefore, for a system of equations of the form y = mx + b where m is the slope and b is the y-intercept, if the slopes are different, the system will have one solution.