See, we could add 1/6 x to both sides and you're gonna get one over six x plus y is equal to one, and that's not quite what we have here. And then we could convert to the forms that we have here, so lets Y is equal to negative 1/6 x, this is the slope plus one. A Linear equation in standard form is written as Ax + By C, This does not mean that A should always be Positive.

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In x is positive six, when our change in x is positive six, our change in y is negative one, so our slope is we decrease in y by one when we increase in xīy six is negative 1/6. In y for given change in x and we see when our change One, and what's the slope? Well slope is our change In y equals mx plus b form where m is the slope andī is the y intercept. We could say that theĮquation of this line is gonna be y, if I write it In slope intercept form and then convert to thisįorm right over here. So if y is 0, this goesĪway and x is equal to six. Six y is equal to one, well then y is gonnaīe equal to one sixth, rule that one out. So a very kind of basic way of approaching this is see well, when x is a zero, y So we see that when x is a zero, y is one. When we look at this, I could see there's two interesting points here, there's the point when x is, let me just write this and actually I'm gonna write a little lower so we can look at it the same time that I look at the equation choices. Which of the followingĮquations represents the line? They give us a bunch of equations here and so there is several

Linear functions khan academy