# Remodeling Your Room

- Author:
- Jaime Dianzon, Walch Education, Tim Brzezinski

- Topic:
- Algebra, Linear Equations

## Are you planning to remodel your room?

## OBJECTIVE: To learn how to change the standard form of the equation of a line to slope-intercept form

In previous lessons, you learned how to graph lines written in various forms. Here, you are going to learn how to change the

*STANDARD FORM*of the equation of a line to*SLOPE-INTERCEPT FORM*. The applet below demonstrates the process. Repeat as many times as needed to master the concept.*y*by subtracting

*x*-values from both sides of the equation. 2. Divide both sides of the resulting equation by the coefficient of

*y*. 3. Reduce fractions to lowest terms. Use the applet below for practice. In the upper left-hand corner of the applet, you'll see the

*STANDARD FORM*

*(Ax + By = C)*of the equation of a line. Your job is to rewrite this equation into

*SLOPE-INTERCEPT FORM (y = mx + b)*. When entering ratios/fractions, be sure to enter EXACT VALUES. (Example: Enter "1/3" for and NOT 0.33). If you type in a correct equation, you'll see a big

**sign appear. Otherwise, you'll have to try again. Repeat as many times as needed to master the concept.**

*"CORRECT !!!"*## TODAY you learned how to change the STANDARD FORM of the equation of a line into SLOPE-INTERCEPT FORM.

In future lessons, you'll learn how to derive the equation of a line given different conditions. Did you ENJOY doing the exercises?