Q:

# How do you change an equation from standard form to slope intercept form?

A:

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.

## Keep Learning

Credit: Min Geolshik Moment Getty Images

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.

Sources:

## Related Questions

• A: The factored form of an equation is the simplest form of the equation that is obtained by factoring out a common variable or constant from multiple terms. ... Full Answer >
Filed Under:
• A: To solve equations with variables on both sides, move the constants to the right side of the equation, simplify, move the variables to the left side and si... Full Answer >
Filed Under:
• A: To find the slope of a line, you need the ratio of the change in y to the change in x. Even if there is no equation, you can still derive the slope by comp... Full Answer >
Filed Under:
• A: The average rate of change in calculus refers to the slope of a secant line that connects two points. In calculus, this equation often involves functions, ... Full Answer >
Filed Under:
PEOPLE SEARCH FOR