[br]In previous lessons, you learned how to graph lines written in various forms. Here, you are going to learn how to change the [i][color=#0000ff]STANDARD FORM[/color][/i] of the equation of a line to [color=#0000ff][i]SLOPE-INTERCEPT FORM[/i][/color].[br][br]The applet below demonstrates the process.[br][br]Repeat as many times as needed to master the concept.

[list=1][br][/list]Here are the steps:[br][br]1. Begin isolating [i]y[/i] by subtracting [i]x[/i]-values from both sides of the equation. [br]2. Divide both sides of the resulting equation by the coefficient of [i]y[/i].[br]3. Reduce fractions to lowest terms.[br][br]Use the applet below for practice. [br][br]In the upper left-hand corner of the applet, you'll see the [i][color=#0000ff]STANDARD FORM[/color][/i] [i][color=#0000ff](Ax + By = C)[/color][/i] of the equation of a line. Your job is to rewrite this equation into [i][color=#0000ff]SLOPE-INTERCEPT FORM (y = mx + b)[/color][/i]. [br]When entering ratios/fractions, be sure to enter [color=#ff0000]EXACT VALUES[/color]. (Example: Enter "1/3" for [img]data:image/png;base64,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[/img] and [color=#ff0000]NOT[/color] 0.33). [br][br]If you type in a correct equation, you'll see a big[b] [i][color=#ff00ff]"CORRECT !!!"[/color][/i] [/b]sign appear. Otherwise, you'll have to try again.[br][br]Repeat as many times as needed to master the concept.

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