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 if the slopes are different.
1 answer
If the slopes of two lines in a system of equations are different, it means that the lines are not parallel. If the lines are not parallel, they must intersect at a single point. Therefore, the system of equations will have one solution, which is the coordinates of the point of intersection of the two lines.