[br]Any algebraic equation that can be converted to the form [color=#0000ff]Ax + By = C[/color] (A and B not both equal to 0) is a [color=#0000ff]linear equation[/color].[br][br]There is a postulate in Geometry that [color=#0000ff]'two points determine a line.'[/color] So it's possible to graph a linear equation by identifying two points that lie on the line. [br][br]One way to do this is by assigning values to x and solving for y. Once you have two ordered pairs that lie on the line, you can plot these two points and connect them. [br][br] [b]Directions:[/b][br][br]1) A linear equation of the form [color=#0000ff][b]Ax + By = C[/b][/color] is displayed at the upper left corner of the applet below.[br][br]2) Assign a value to x and solve for y to get an ordered pair. Assign another value to x and again solve for[br] y to get another ordered pair. [Note: The applet only works for integer values of x and y.][br][br]3) Move the [color=#b45f06]2 Large White Dots[/color] to match your two ordered pairs.[br][br]4) Click [color=#351c75][b]Check Graph[/b][/color]. If you didn't get it right, check your calculations and try again. [br][br]5) Once you get a problem [color=#e06666][b]Correct[/b][/color], click the [color=#38761d][b]New Problem [/b][/color]button.[br][br]6) Repeat at least 10 times. [br]
[color=#0000ff][b]QUESTION[/b][/color]: Which method did you follow in coming up with your ordered pairs? One: Substitute a value for x in the original equation, and then isolate y. Or two: Solve for y in terms of x before substituting a value for x and solving for y. Try to use the alternative method to see which one works best for you. Then repeat the exercise above.