document.write( "Question 188226: I have to git the equation in y form then i have to find m and b then graph\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3Y=2X+6
\n" ); document.write( " Y=2x-6
\n" ); document.write( "

Algebra.Com's Answer #141100 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "
\n" ); document.write( "Given: \"system%283Y=2X%2B6%28EQN1%29%2CY=2x-6%28EQN2%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Just substitute \"EQN2\" in \"EQN1\":
\n" ); document.write( "\"3%2Ahighlight%282x-6%29=2x%2B6\"
\n" ); document.write( "\"6x-18=2x%2B6\", Combine similar terms
\n" ); document.write( "\"6x-2x=18%2B6\"
\n" ); document.write( "\"4x=24\" -----> \"cross%284%29x%2Fcross%284%29=cross%2824%296%2Fcross%284%29\" ---> \"red%28x=6%29\", subst. in \"EQN2\":
\n" ); document.write( "\"y=2%2Ahighlight%28%286%29%29-6=12-6=red%286%29\"
\n" ); document.write( "These two lines intersect at point (6,6)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now, remember Slope-Intercept Form, \"y=mx%2Bb\", we arrange given line Eqns to this form:
\n" ); document.write( "In \"EQN1\", \"3y=2x%2B6\" ---> \"cross%283%29y%2Fcross%283%29=%282x%2B6%29%2F3=%282%2F3%29x%2B6%2F3\"
\n" ); document.write( "\"red%28y=%282%2F3%29x%2B2%29\", where\"system%28m=2%2F3%2CyIntercept=b=2%29\"
\n" ); document.write( "Let fy=o ----> \"o=%282%2F3%29x%2B2\" ----> \"%282%2F3%29x=%28-2%29\" --->\"2x=%28-2%29%283%29=%28-6%29\", divide both by 2
\n" ); document.write( "\"red%28x=-3%29\", X-Intercept
\n" ); document.write( "Let fx=0 ----> \"y=%282%2F3%29%280%29%2B2=red%282%29\", Y-Intercept\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In \"EQN2\", -----> \"red%28y=2x-6%29\", where\"system%28m=2%2Cb=%28-6%29%29\"
\n" ); document.write( "Let fy=o ----> \"0=2x-6\" ---->\"2x=6\", divide both by 2:
\n" ); document.write( "\"red%28x=3%29\", X-Intercept
\n" ); document.write( "Let fx=o ----> \"y=2%280%29-6=red%28-6%29\", Y -Intercept\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We'll see graph,
\n" ); document.write( "----> RED,\"EQN1\"; GREEN, \"EQN2\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );