I'm trying to help my daughter with her math homework and after scouring google and websites I find I truly do not understand how to complete this even after going several different websites.
The problem is 2y - 12x = 36
I need to understand how to complete this problem so I can then explain it to her.
I've tried using sites like tiger-algebra and I realize it's just above my head...
Please assist a desperate father.
Start by rearranging so that you've got a "y" on its own: the first problem that we notice is that "2" stuck to the front, so we'll divide both sides by 2 to get rid of it, obtaining $$y - 6x = 18.$$ Now, that "$-6x$" is in the way, so we'll add $6x$ to both sides to get rid of it, obtaining $$y = 6x + 18.$$
That should get it into the standard form that you're expecting for "rate of change" questions, and it's clear that the rate of change is $6$.