document.write( "Question 1820: Hello, how do i graph the equation 2x+3y=6. \n" ); document.write( "
Algebra.Com's Answer #655 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
any straight line can be sketched if you know it in the form y = mx + c where m is the gradient and c in the y-intercept...so we need to re-arrange your equation slightly\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B3y=6\" becomes \"3y+=+-2x+%2B+6\" then becomes \"y+=+%28-2x+%2B+6%29%2F3\" which is \"y+=+%28-2%2F3%29x+%2B+2\".\r
\n" ); document.write( "\n" ); document.write( "so, the gradient is -2/3 and the y-intercept is at y=2\r
\n" ); document.write( "\n" ); document.write( "We can also find where the line crosses the x-axis, as this is where y=0, so putting y=0 into the equation (any version) gives x=3.\r
\n" ); document.write( "\n" ); document.write( "You need to know what a +ve and -ve gradient looks like:\r
\n" ); document.write( "\n" ); document.write( "+ve is /
\n" ); document.write( "-ve is \\r
\n" ); document.write( "\n" ); document.write( "cheers
\n" ); document.write( "Jon
\n" ); document.write( "
\n" ); document.write( "
\n" );