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this equation this one here that we started off the day with i gave it to you and then i asked some questions of you what we did was we said okay if we can get into this form down here which we call what again you can call it y equals mx plus b because its m x plus b you can call it slope intercept form because thats the slope thats the intercept you can also call it gradient intercept form because gradients just another name for slope so we saw that going in that direction was useful it gives you these uh features about the line you dont even have to graph it you can just look at the numbers however on occasion you will be given a line in this form and actually youve got to go in reverse now heres whats weird its not immediately obvious why this form up the top is useful you actually have to do a bit of work to get there however because eventually you will they give this guy its own name they call it their general form okay now 5x minus 2 y plus 10 equals 0 is exactly written