So the slope is of course a ratio of the change in y-coordinates to the change in x-coordinates. This is easy to see with a linear equation. I just came across a cool math simulator ( https://phet.colorado.edu/sims/equation-grapher/equation-grapher_en.html), and I left the first value (ax^2) alone and messed with the other two, which acted as a normal linear equation because the x^2 value was 0. But when the x^2 term is a non-zero value, and you change the values of b, the graph gets weird and starts tilting. Is this still the slope changing? Does every graph of every power have slope? I'm having a hard time picturing the slope of a parabola.