document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430313>Question 430313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you determine the value of r so the line passes through each pair of points has the given slope? \r<BR>\n" );
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document.write( "example. <BR>\n" );
document.write( "I can't figure out how to do this:\r<BR>\n" );
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document.write( "(10,r),(3,4), m = -2/7 <BR>\n" );
document.write( "i just need to figure out how to do it so then i can do the rest by myself. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298824 by </B><A HREF=/tutors/aboutme.mpl?userid=John10><B>John10(297)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=John10><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=John10><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you determine the value of r so the line passes through each pair of points has the given slope? <BR>\n" );
document.write( "Example. <BR>\n" );
document.write( "(10,r),(3,4), m = -2/7 \r<BR>\n" );
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document.write( "METHOD 1: Use the given slope and point to find the equation in standard form:\r<BR>\n" );
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document.write( "y - yo = m(x -xo)<BR>\n" );
document.write( "y - 4 = (-2/7)(x - 3)<BR>\n" );
document.write( "y -4 = (-2/7)x + 6/7<BR>\n" );
document.write( "y = (-2/7)x + 6/7 + 4<BR>\n" );
document.write( "y = (-2/7)x + 6/7 + 28/7<BR>\n" );
document.write( "y = (-2/7)x + 34/7\r<BR>\n" );
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document.write( "(10,r) is the solution of above equation,we substitute it into the equation and find r:\r<BR>\n" );
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document.write( "r = (-2/7)(10) + 34/7 = -20/7 + 34/7 = 14/7 = 2\r<BR>\n" );
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document.write( "so r = 2\r<BR>\n" );
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document.write( "METHOD 2: USE Slope and two points\r<BR>\n" );
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document.write( "By slope formula:\r<BR>\n" );
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document.write( "m = (y2 -y1)/(x2-x1)\r<BR>\n" );
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document.write( "(10,r),(3,4), m = -2/7 \r<BR>\n" );
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document.write( "(r-4)/(10 -3) = -2/7<BR>\n" );
document.write( "r-4 = (-2/7)(7)<BR>\n" );
document.write( "r -4 = -2<BR>\n" );
document.write( "r = -2 + 4<BR>\n" );
document.write( "r = 2\r<BR>\n" );
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document.write( "There you go! you can use any method to find r:)<BR>\n" );
document.write( "John10 </SPAN>\n" );
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