document.write( "Question 107911: Graph using the intercept method: 2x+y=4 \n" ); document.write( "
Algebra.Com's Answer #78648 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"2%2Ax%2B1%2Ay=4\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's find the x-intercept\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To find the x-intercept, let y=0 and solve for x:\r
\n" ); document.write( "\n" ); document.write( "\"2%2Ax%2B1%2A%280%29=4\" Plug in \"y=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%2Ax=4\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=4%2F2\" Divide both sides by 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=2\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the x-intercept is (\"2\",0) (note: the x-intercept will always have a y-coordinate equal to zero)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%2Ax%2B1%2Ay=4\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now let's find the y-intercept\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To find the y-intercept, let x=0 and solve for y:\r
\n" ); document.write( "\n" ); document.write( "\"2%2A%280%29%2B1%2Ay=4\" Plug in \"x=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2Ay=4\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=4%2F1\" Divide both sides by 1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=4\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the y-intercept is (0,\"4\") (note: the y-intercept will always have a x-coordinate equal to zero)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So we have these intercepts:\r
\n" ); document.write( "\n" ); document.write( "x-intercept: (\"2\",0)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y-intercept: (0,\"4\")\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now plot the two points (\"2\",0) and (0,\"4\") \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now draw a line through the two points to graph \"2%2Ax%2B1%2Ay=4\"\r
\n" ); document.write( "\n" ); document.write( " graph of \"2%2Ax%2B1%2Ay=4\" through the points (\"2\",0) and (0,\"4\")\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );