Straight Line Graphs 2 - ax + by = c

This applet demonstrates the two forms of the equation of a straight line, y = mx + c and ax + by = c.

Author and programmer: Ron Barrow

UK - Years 8-11, KS3, KS4, Foundation and Higher GCSE Mathematics - Algebra and Graphs
US - Grades 9-10, Algebra and Geometry (Graphs)

   
           

Instructions below   See also:  Straight Line Graphs 1    Simultaneous equations solved graphically    Coordinate Geometry

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How to Use this Applet

This applet follows on from the applet Straight Lines and Equations 2 which you should look at first. This program looks at straight lines whose equations are in the form: ax + by = c, where a, b and c are all integers. You can draw the line from the equation by first rearranging it into the form: y = gradient × x + y-intercept. You can find the equation of the line by first finding its gradient and intercept, and then rearranging its equation into the form: ax + by = c. You can turn things on and off using the boxes at the bottom. Pressing the "Random" button will give you a random line which you can investigate. Learn by playing around!