document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392244>Question 392244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the value of r so that a line through the points with the coordinates (r,4) and (-2,3) has slope 1/4\r<BR>\n" );
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document.write( "PLEASE HELP FASTT !! THANKYOUU(: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278413 by </B><A HREF=/tutors/aboutme.mpl?userid=spikendb><B>spikendb(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=spikendb><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=278413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the value of r so that a line through the points with the coordinates (r,4) and (-2,3) has a slope of 1/4\r<BR>\n" );
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document.write( "To find r, you first have to plug the coordinates into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+change+in+y%2Fchange+in+x ALIGN=MIDDLE  ALT=\"m+=+change+in+y%2Fchange+in+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "m = slope\r<BR>\n" );
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document.write( "An easier formula to understand is m = y2-y1/x2-x1<BR>\n" );
document.write( "You plug in the coordinates to have:<BR>\n" );
document.write( "1/4 = 3-4/-2-r\r<BR>\n" );
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document.write( "Then you have to solve the formula for r.\r<BR>\n" );
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document.write( "1/4 = 3-4/-2-r<BR>\n" );
document.write( "You subtract 4 from 3 to get -1<BR>\n" );
document.write( "1/4 = -1/-2-r<BR>\n" );
document.write( "Next, you multiply both sides of the equation by -2-r/1<BR>\n" );
document.write( "By multiplying both sides by -2-r/1, you cancel out the -2-r on the right side, and move it to the left.  Only -1 remains on the right side of the equation.<BR>\n" );
document.write( "1/4(-2-r) = -1<BR>\n" );
document.write( "You multiply both sides of the equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F1 ALIGN=MIDDLE  ALT=\"4%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, cancelling it out on the left side.  By multiplying the -1 on the right side by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F1 ALIGN=MIDDLE  ALT=\"4%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you get -4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2-r+=+-4 ALIGN=MIDDLE  ALT=\"-2-r+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You add 2 to both sides of the equation.  It cancels it out on the left side, and creates a -2 on the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-r+=+-2 ALIGN=MIDDLE  ALT=\"-r+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To isolate the variable, r, you divide both sides of the equation by -1.  That gives you the answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+2 ALIGN=MIDDLE  ALT=\"r+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can check your answer by plugging 2 in for r in the original equation:<BR>\n" );
document.write( "1/4 = 3-4/-2-2<BR>\n" );
document.write( "1/4 = -1/-4<BR>\n" );
document.write( "1/4 = 1/4<BR>\n" );
document.write( "The answer to the problem is r = 2. </SPAN>\n" );
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