How Do You Change an Equation From Standard Form to Slope Intercept Form?

How Do You Change an Equation From Standard Form to Slope Intercept Form?

How Do You Change an Equation From Standard Form to Slope Intercept Form?

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.

  1. 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.

  2. Simplify

    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.

  3. 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.