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# Going From
Standard Form to Slope-Intercept Form

A standard form equation is when it is set up

Ax + By = C.

6x + 2y = 4

A slope-intercept form equation is when it is set up
y=mx+b.

Y = - 3x + 2

In order to go from one form to another,
all you have to do is change the order of the given numbers. First you want
to move the Ax to the opposite side of the equation, by either adding or subtracting
it. At this point your equation will be set up By = -Ax + C.
Then you want to divide the B from the By and the rest of the equation. Therefore
you will have y = - Ax/B + C/B. This is the same thing as the
slope-intercept form, just a few of the letters are different.

Example 1:

## Change from standard to slope form

__8x + 4y = 16__

8x + 4y = 16 first subtract 8x

4y = -8x + 16 then divide all
by 4

y = -2x + 4 slope form

Example 2:

__6x + 3y = 21__

6x + 3y = 21 subtract 6x

3y = -6x + 21 then divide all by
3

y = -2x + 7 slope form