Imagine that you are given two linear equations in slope-intercept form.

Question

You notice that the slopes are different, but the y-intercepts are the same.
How many solutions would you expect for this system of equations?

Answer 1

If you have two linear equations in slope-intercept form with different slopes but the same y-intercepts, it means that the two lines represented by these equations will eventually cross at one unique point. Since they have different slopes, this implies that the lines are not parallel. As a result, they will intersect at exactly one point.

Thus, for this system of equations, you can expect one solution.