document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206268>Question 1206268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to graph y>/ 1/4x -1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843573 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'll assume the inequality that you want to graph is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+expr%281%2F4%29x+-+1 ALIGN=MIDDLE  ALT=\"y+%3E=+expr%281%2F4%29x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The boundary line equation would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+expr%281%2F4%29x+-+1 ALIGN=MIDDLE  ALT=\"y+=+expr%281%2F4%29x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's of the form y = mx+b<BR>\n" );
document.write( "m = 1/4 = slope<BR>\n" );
document.write( "b = -1 = y intercept\r<BR>\n" );
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document.write( "The y intercept tells us that (0,-1) is one point on the boundary line.<BR>\n" );
document.write( "Another point on the boundary is (4,0) after moving 1 unit up and 4 units right from the y intercept.<BR>\n" );
document.write( "The movement \"up 1, right 4\" is due to the slope 1/4.<BR>\n" );
document.write( "slope = rise/run = 1/4<BR>\n" );
document.write( "rise = 1 = go up 1<BR>\n" );
document.write( "run = 4 = go right 4\r<BR>\n" );
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document.write( "Another way to determine (4,0) is to plug x = 4 into the equation to generate y = 0.\r<BR>\n" );
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document.write( "The boundary goes through (0,-1) and (4,0) which represent the y and x intercepts in that order.<BR>\n" );
document.write( "This boundary line is solid due to the \"or equal to\" in the inequality sign. <BR>\n" );
document.write( "The last step is to shade above the boundary due to the \"greater than\" portion.\r<BR>\n" );
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document.write( "Check out this Desmos graph<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.desmos.com/calculator/nl5mh9kjkh\">https://www.desmos.com/calculator/nl5mh9kjkh</a><BR>\n" );
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