First, rearrange the variables so that the y term is on the left side of the equal sign and the remaining terms are on the right side of the equal sign. Next, simplify the equation so the y term is in its simplest terms. Once the y term is in its simplest form, the equation is in slope-intercept form.
- Rearrange the variables
The standard form of an equation is Ax + By = C, while the slope-intercept form of an equation is y = mx + b. The first step in changing an equation from standard form to slope-intercept form is to rearrange the variables. Move Ax to the right side of the equation so that it appears as By = -Ax + C.
Next, take the answer from step 1 and simplify by dividing the B term through the entire equation. Now, the equation is y = (-A/B)x + C/B.
- Understand the equation
After step 2, the equation is in slope-intercept form. Each variable correlates to an essential part of a line. In y = (-A/B)x + C/B, -A/X is the slope of the line and C/B is the y-intercept.