The slope-intercept form of an equation looks like the following:
y=mx+b , where m is the slope, x is the x-value, and b is the indication of the interval the graph is moved up or down.
So, to get the equation from 2x+3y=12 into slope intercept form, do the following steps:
1.) Get the y term all by itself.
3y=12−2x
2.) Get the variable y so that there are no coefficients. This means we need to divide the whole thing by 3 to get y by itself, completely.
y=4−23x
3.) Now rearrange the terms in the right side of the equall sign to get the form of mx+b.
y=−23x+4
Summary:
We first got the y term by itself (on one side of the equation). Then, we got ride of the coefficient (number before the y variable) by dividing it out. After that, we rearranged the terms 4 and −23x so that it forms −23x+4. The final equation is y=−23x+b. And your equation is in the form y=mx+b!
