document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75633>Question 75633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the slope and y-intercept of the line which is the graph of the equation\r<BR>\n" );
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document.write( "2y=5(x+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54308 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=54308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you can \"rework\" the equation into the form y = mx + b, then you will be able to identify the<BR>\n" );
document.write( "slope and the y-intercept.  The slope is m, the multiplier of x, and the y-intercept<BR>\n" );
document.write( "is b, the constant that follows the x term.  So let's work on the equation.  You are given:<BR>\n" );
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document.write( "2y=5(x+1)<BR>\n" );
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document.write( "Multiply out the right side and the equation becomes:<BR>\n" );
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document.write( "2y = 5x + 5<BR>\n" );
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document.write( "Close to what we need, but we need the solution for y ... not for 2y.  So let's divide<BR>\n" );
document.write( "every term on both sides by 2.  When we do, we get:<BR>\n" );
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document.write( "y = (5/2)*x + 5/2<BR>\n" );
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document.write( "This is exactly in the form y = mx + b which is called the slope-intercept form.<BR>\n" );
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document.write( "By comparing our equation with the slope-intercept form, we can see that m, the multiplier<BR>\n" );
document.write( "of x is (5/2). And m is the slope.  So the slope is (5/2).  Then by comparing again we<BR>\n" );
document.write( "see that b is the constant on the right side.  So b, which is the y-intercept, is also <BR>\n" );
document.write( "5/2.  So the slope is 5/2 and so is the y-intercept.<BR>\n" );
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document.write( "Hope this helps you become more familiar with the slope-intercept form of linear equations. </SPAN>\n" );
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