document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35420>Question 35420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve the equation 4x + y > 4 then determine the half plane which I would show on the graph.  I am lost at how to do this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21550 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> put into y=mx+b where m is the slope and b is the y-intercept<BR>\n" );
document.write( "4x + y > 4<BR>\n" );
document.write( "y > -4x + 4<BR>\n" );
document.write( "slope is -4<BR>\n" );
document.write( "y-intercept is 4\r<BR>\n" );
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document.write( "*The answer is all numbers higher than the line*\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+x+%2B+1+y+=+4 ALIGN=MIDDLE  ALT=\"4+x+%2B+1+y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-4%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-4%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 4/4 = 1.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/1 = 4.</LI><LI>Slope is -4/1 = -4.</LI><LI> Equation in slope-intercept form: y=-4*x+4.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+1-8%2C+1%2B8%2C+4-8%2C+4%2B8%2C+-4%2Ax%2B4+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+1-8%2C+1%2B8%2C+4-8%2C+4%2B8%2C+-4%2Ax%2B4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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