document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112470>Question 112470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What do you do to the equation y=x to make its graph steeper?\r<BR>\n" );
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document.write( "What do you do to make the graph for y=x flatter?\r<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 #82048 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=82048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the equation:<BR>\n" );
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document.write( "y = x<BR>\n" );
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document.write( "This equation is in the slope intercept form of y = mx + b where m (the multiplier of x) is the <BR>\n" );
document.write( "slope of the line, and b is the value on the y-axis where the line crosses.<BR>\n" );
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document.write( "For the given equation the multiplier of x is +1. [b is zero, so the line goes through the<BR>\n" );
document.write( "origin where y is equal to zero.]<BR>\n" );
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document.write( "So we know that the slope of the line of the given equation is +1. To make this line steeper,<BR>\n" );
document.write( "all you have to do is to increase the slope. As a result you can say that:<BR>\n" );
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document.write( "y = 2x <BR>\n" );
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document.write( "is steeper than the line defined by the equation y = x. And y = 5x is even steeper than<BR>\n" );
document.write( "y = 2x. And y = 10x is even steeper than y = 5x. <BR>\n" );
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document.write( "In the other direction, if you want the original line to slope less than y = x, all you need<BR>\n" );
document.write( "to do is make the slope less than 1, but greater than 0. The smaller the fraction, the<BR>\n" );
document.write( "more the slope comes closer and closer to being a horizontal line.<BR>\n" );
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document.write( "So<BR>\n" );
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document.write( "y = (3/4)x <BR>\n" );
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document.write( "is less steep than y = x. Even less steep would be y = (1/2)x. And y = (1/4)x is less steep <BR>\n" );
document.write( "yet.<BR>\n" );
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document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
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