5.1 Understanding Linear Functions
Lesson: To graph linear equations written in standard form by treating them as a function that generates ordered pairs.
Any algebraic equation that can be converted to the form Ax + By = C (A and B not both equal to 0) is a linear equation in standard form.
There is a postulate in Geometry that 'two points determine a line.' So it's possible to graph a linear equation by identifying two points that lie on the line.
A linear equation in standard form is displayed at the upper left corner of the applet below.
Procedure for Interacting with The Applet and Turning in Your Work
1) On a sheet of paper, isolate y in the displayed equation.
2) Assign a small input value to x which yields an output value to y resulting in an ordered pair. Repeat to
get another ordered pair. [Note: The applet only works for integer values of x and y.]
3) Move the 2 Large White Dots to match your two ordered pairs.
4) Click Check Graph. If you didn't get it right, check your calculations and try again.
5) Once you get a problem Correct, screenshot your work and upload to a Google Doc.
6) Click the New Problem button and repeat steps 1 through 5 four more times. The Google Doc now
has 5 different graphs on it. Upload it to Google Classroom for this assignment.