This graph shows a line with two sliders, one for the change in x (∆x) and the other for the change in y (∆y). Both sliders are set at 8 and the slope of the line is calculated to be 1.

Move ∆x slider to the left until the change is set at 4. What happens to the line and the calculated slope? Move the slider again to the left until the change is set at 0. What happens now to the line and the calculated slope? Move the slider one more time to the left until the end of the line when the change is set at -8. What happens to the line and the calculated slope this time?
Now, move ∆y slider to the left until the change is set at 4. What happens to the line and the calculated slope? Move the slider again to the left until the change is set at 0. What happens to the line and the calculated slope? Now, move the slider to the left until the change is set at -2 and then move it until the end of the line when the change is set at -8. What happens to the line and the calculated slope at each point?