document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852590>Question 852590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on linear equations and am getting so confused when they used fractions! I have encountered an ordered pairs problem: the ordered pairs are (6,34), (13,82) using formula m= p2-p1 over h2-h1: here is some of the problem: p-34=48/7 (h-6), then p-34= 48/7h-288/7, then p=48/7h-50/7.....I just do not understand or see how they got these problems and fractions...I hope you can explain this to me, or show me! Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513571 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> points (6,34), (13,82)<BR>\n" );
document.write( "slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28p2-p1%29%2F%28h2-h1%29 ALIGN=MIDDLE  ALT=\"m+=+%28p2-p1%29%2F%28h2-h1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2882-34%29%2F%2813-6%29 ALIGN=MIDDLE  ALT=\"%2882-34%29%2F%2813-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F7 ALIGN=MIDDLE  ALT=\"48%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I am used to using y = mx + b for linear equations\r<BR>\n" );
document.write( "\n" );
document.write( "This would be  p = mh + b in your example<BR>\n" );
document.write( "We select one of the points to work with say (6,34)<BR>\n" );
document.write( "h = 6, p = 34, and m = 48/7<BR>\n" );
document.write( "If we substitute these values into p = mh + b<BR>\n" );
document.write( "( We are solving for the intercept )<BR>\n" );
document.write( "we get 34 = (48/7)*(6) + b<BR>\n" );
document.write( "34 = 288/7 + b<BR>\n" );
document.write( "add -288/7 to each side<BR>\n" );
document.write( "34 - 288/7 = b<BR>\n" );
document.write( "Now convert 34 to a fraction with 7 as denominator.  34 = 34*(7/7) = 238/7<BR>\n" );
document.write( "238/7 - 288/7 = b<BR>\n" );
document.write( "-50/7 = b<BR>\n" );
document.write( "So our equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+%2848%2F7%29h+-+50%2F7 ALIGN=MIDDLE  ALT=\"p+=+%2848%2F7%29h+-+50%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's verify that it works for (13,82)<BR>\n" );
document.write( "82 =? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848%2F7%29%2A%2813%29+-+50%2F7 ALIGN=MIDDLE  ALT=\"%2848%2F7%29%2A%2813%29+-+50%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This checks out. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );