document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=485683>Question 485683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with how to find missing coordinates! <BR>\n" );
document.write( "Find the value of k<BR>\n" );
document.write( "(-3,2k)(k,6) m=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332135 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=332135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if this is supposed to be a straight line, then m is the slope.<BR>\n" );
document.write( "the equation of a straight line is equal to:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y intercept<BR>\n" );
document.write( "the slope is given by the equation.<BR>\n" );
document.write( "m = (y2-y1)/x2-x1)<BR>\n" );
document.write( "the coordinates you are given can be labeled as:<BR>\n" );
document.write( "(x1,y1) = (-3,2k)<BR>\n" );
document.write( "(x2,y2) = (k,6)<BR>\n" );
document.write( "y2 - y1 would be equal to 6 - 2k<BR>\n" );
document.write( "x2 - x1 would be equal to k - (-3) which is equal to k + 3<BR>\n" );
document.write( "the slope is therefore equal to (6-2k) / (k+3) and is equal to 4.<BR>\n" );
document.write( "you need to solve that equation for k.\r<BR>\n" );
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document.write( "you have (6-2k) / (k+3) = 4<BR>\n" );
document.write( "multiply both sides of this equation by (k+3) to get:<BR>\n" );
document.write( "(6-2k) = 4 * (k+3)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "6 - 2k = 4k + 12<BR>\n" );
document.write( "subtract 4k from both sides of the equation and subtract 6 from both sides of the equation to get:<BR>\n" );
document.write( "-2k - 4k = 12 - 6<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "-6k = 6<BR>\n" );
document.write( "divide both sides of the equation by -6 to get:<BR>\n" );
document.write( "k = -1\r<BR>\n" );
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document.write( "when k = -6, your coordinates becomes:<BR>\n" );
document.write( "(-3,-2) and (-1,6) with m = 4<BR>\n" );
document.write( "(x1,y1) = (-3,-2)<BR>\n" );
document.write( "(x2,y1) = (-1,6)<BR>\n" );
document.write( "y2 - y1 = 6 - (-2) = 8<BR>\n" );
document.write( "x2 - x1 = -1 - (-3) = 2<BR>\n" );
document.write( "8/2 = a slope of 4 which confirms the calculations are correct.\r<BR>\n" );
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document.write( "your answer is that k = -1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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