document.write( "Question 201871: Name the x and y intercept for 4x-6y = -24 \n" ); document.write( "
Algebra.Com's Answer #152116 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "

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( "\"4x-6y+=+-24\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x-6%280%29+=+-24\" Plug in \"y=0\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x-0+=+-24\" Multiply \"-6\" and 0 to get 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x+=+-24\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28-24%29%2F%284%29\" Divide both sides by \"4\" to isolate \"x\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-6\" Reduce.\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( "\"4x-6y+=+-24\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%280%29-6y+=+-24\" Plug in \"x=0\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0-6y+=+-24\" Multiply \"4\" and 0 to get 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6y+=+-24\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=%28-24%29%2F%28-6%29\" Divide both sides by \"-6\" to isolate \"y\".\r
\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( "So the y-intercept is .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice that if we graph the equation \"4x-6y+=+-24\", we can see that the graph has the x-intercept and the y-intercept \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Graph of \"4x-6y+=+-24\"
\n" ); document.write( "
\n" ); document.write( "
\n" );