document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266011>Question 266011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given pair of points:                (1/6,-1/3)and (5/6,3)  What is the equation of the line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195500 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given pair of points:<BR>\n" );
document.write( "(1/6,-1/3)and (5/6,3)<BR>\n" );
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document.write( "1st find the slope, m<BR>\n" );
document.write( "m = diffy/diffx = (-1/3 - 3)/(1/6 - 5) = (-10/3)/(-29/6)<BR>\n" );
document.write( "m = 20/29<BR>\n" );
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document.write( "Use y = mx + b and either point to find b:<BR>\n" );
document.write( "3 = (20/29)*(5/6) + b<BR>\n" );
document.write( "b = 37/87<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "y = (20/29)x + 37/87  slope-intercept form<BR>\n" );
document.write( "60x - 87y = -37 standard form\r<BR>\n" );
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document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );