Graph??? Help For My Project-java Applet

[vaaseegaran]

HI, MY PROJECT IS ABOUT TO DRAW A GRAPH, WHEN WE GIVEN TWO EQUATION OF THE LINES MEANS APPLET HAVE TO FIND THE POINT OF INTERSECTION AND TO POINT THE INTERSECTION PT IN THE GRAPH THERE ARE THREE CASES.
1. INTERSECTING POINT
2. LINES ARE PARALLEL
3. IF TWO EQUATIONS ARE EQUATIONS ARE SAME MEANS , RESULT SHOULD BE 'LINES ARE IDENTICAL'

LINES SHOULD BE DRAWN, WHEN WE GIVEN THE TWO EQUATIONS.

[vaaseegaran]

http://www.teacherschoice.com.au/Maths_Library/Algebra/Alg_1135.gif
http://images.google.com.sg/imgres?imgurl=http://www.teacherschoice.com.au/Maths_Library/Algebra/Alg_142.gif&imgrefurl=http://www.teacherschoice.com.au/Maths_Library/Algebra/Alg_14.htm&h=312&w=312&sz=6&tbnid=t0V0GAkaYHUJ:&tbnh=113&tbnw=113&start=5&prev=/images%3Fq%3Dgraphs%2Bfor%2Bpoint%2Bof%2Bintersection%26hl%3Den%26lr%3D%26ie%3DUTF-8

YOU CAN CAN SEE MY SAMPLE GRAPH OF MY PROJECT, WITH HELP OF ABOVE LINK .
PLS GIVE ME THE OUTLINE OF THE JAVA APPLET TO DRAW A GRAPH