document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40553>Question 40553</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>INTERMEDIATE ALGEBRA</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Use the slop-intercept form to write an equation of the line with the given properties.\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 #25966 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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/cgi-bin/show-face.mpl?user=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m = -7, passing through (7,5)\r<BR>\n" );
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document.write( "The \"slope-intercept form\" means that the main information we need in this equation is the values for the slope and the value for the y-intercept.  The y-intercept is the point at which the line crosses or hits the y-axis.  The y-intercept is indicated by the points (0, b) in which the x value is always zero and the y value is a real number value.\r<BR>\n" );
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document.write( "The slope-intercept form is:<BR>\n" );
document.write( "y = mx + b\r<BR>\n" );
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document.write( "The value for each variable is:<BR>\n" );
document.write( "y = the y value of a point<BR>\n" );
document.write( "m = the slope (y - y)/(x - x)<BR>\n" );
document.write( "x= is the x value of the same point<BR>\n" );
document.write( "b = the y-intercept (0, b)\r<BR>\n" );
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document.write( "To find the slope-intercept form for:  m = -7, passing through (7,5)<BR>\n" );
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document.write( "First substitute the values into the y = mx + b equation:\r<BR>\n" );
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document.write( "5 = -7(7) + b\r<BR>\n" );
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document.write( "Solve for \"b\"\r<BR>\n" );
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document.write( "5 = -49 + b<BR>\n" );
document.write( "5 + 49 = -49 + 49 + b<BR>\n" );
document.write( "54 = b\r<BR>\n" );
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document.write( "Going back to the explaination of y = mx + b, determine which terms represent \"m\" for the slope and which terms equal \"b\" for the y-intercept.  The answer is the slope \"m\" is represented by -7.  The y-intercept is represented by 54.\r<BR>\n" );
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document.write( "Plug the value for the slope \"m\" and for the y-intercept \"b\" back into the slope-intercept formula:\r<BR>\n" );
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document.write( "y = -7x + 54\r<BR>\n" );
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