 There are two ways to graph standard form equations. Here we have an equation 3x minus 6y is equal to negative 12. And right now it follows ax plus by equals c. So the first method is to rewrite this into slope-intercept form. So using algebra, we'll want to get it into form y equals mx plus b. So the first step will be to subtract 3x from both sides. Next, we'll divide both sides of the equation by negative 6y. Or rather, by negative 6. Now negative 6 divided by negative 6, that equals 1. And now we've got a fraction over on the other side. So let's split that up into two parts. And now let's simplify the fractions. We have y equals negative 3 divided by negative 6. That's just 1 half. So we have 1 half x plus negative 12 divided by 6. Sorry, negative 12 divided by negative 6 is 2. And so here we have y equals 1 half x plus 2. So now we have a slope of 1 half and a y-intercept of 0 2. So first we'll start at the y-intercept, 0 2. And now we'll apply the slope of 1 half. Now that slope of 1 half means we'll go up 1. And then right 2. Remember it's rise over run. So vertical over horizontal. So up 1. And then over 2. There's one point. We can make another. And again if we choose. And then all that's left to do is to draw on the line. The other method for using standard form to draw the equation of the line is to find the x-intercept and the y-intercept. The x-intercept is a point on the line that crosses the x-axis. Now that point will have a y-coordinate of 0. So to find the x-intercept we know that the y-coordinate must be 0. If you take and plug in 0 into this equation, then you get 3x minus, well minus 0 is equal to negative 12. So that means 3x is equal to negative 12. And that means x must be equal to negative 4. To find the y-intercept we'll do something kind of similar, except we'll set x equal to 0. So if negative 6y is equal to negative 12, that means y is equal to 2. And so now we have 2 points. Negative 4 is 0. And 0 is 2. Not those points, we'll connect the dots and then we'll have the line. There's negative 4, 0 and 0, 2. And then all that's left to do is to connect the dots. And there we go. Two ways to graph the equation of a line that's in standard form.