document.write( "Question 243595: use the intercepts to graph the equation
\n" ); document.write( "x + 4y = 8
\n" ); document.write( "

Algebra.Com's Answer #178433 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

x-intercept

\r
\n" ); document.write( "\n" ); document.write( "To find the x-intercept, plug in \"y=0\" and solve for x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+4y+=+8\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+4%280%29+=+8\" Plug in \"y=0\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+0+=+8\" Multiply \"4\" and 0 to get 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+0+=+8\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=8\" Multiply.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the x-intercept is .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

y-intercept

\r
\n" ); document.write( "\n" ); document.write( "To find the y-intercept, plug in \"x=0\" and solve for y\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+4y+=+8\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0+%2B+4y+=+8\" Plug in \"x=0\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+%2B+4y+=+8\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=%288%29%2F%284%29\" Divide both sides by \"4\" to isolate \"y\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=2\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the y-intercept is .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now plot the points (8,0) and (0,2)\r
\n" ); document.write( "
\n" ); document.write( "
\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 straight line through the points to graph \"x+%2B+4y+=+8\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Graph of \"x+%2B+4y+=+8\" through the points (8,0) and (0,2)
\n" ); document.write( "
\n" );