By viewing the page source here, you can now make multiple variable webpage generators. They might be useful for things like this which is a for refining project based questions or you could use as elements in a writing prompt. I have another one that randomizes images as well that works slightly differently.
"The point here is that the technology made the conversation easier. Instead of creating 20 different examples of graphs and seeing what happens as each variable is changed, students were able to visualize the changes, both in the graph representation, and in the formula representation. When asked if they noticed anything after the "Point on the line" slider was changed, one student said they noticed the Intercept-slope form of the equation did not change. Another student responded to him with "that form of the line doesn't depend on which points you use.""