document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909082>Question 909082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a line that passes through the points (1/3,4/5) and -5/7,1/4). Put you final answer in standard form (Ax+By=C) and make sure there are no fractions or decimals in the answer and the x term is positive.\r<BR>\n" );
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document.write( "So far, I have figured out what the slope would be by using the <BR>\n" );
document.write( "m=y2-y1/x2-x1, which gave me -11/20*21/22=21/40(slope) <BR>\n" );
document.write( "then I tried using the point slope form and this is where my confusion came in at. <BR>\n" );
document.write( "I had Y-4/5=21/40(x-1/3) THEN I subtracted the 4/5 from both sides and came up with Y=21/40x(-1/3+4/5). I don't know what to do from here.  Any help would be greatly appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551575 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/3,4/5,-5/7,1/4,<BR>\n" );
document.write( "y=21/40x+b<BR>\n" );
document.write( "find b<BR>\n" );
document.write( "4/5=21/40(1/3)+b<BR>\n" );
document.write( "b=5/8<BR>\n" );
document.write( "y=21/40x+5/8<BR>\n" );
document.write( "y=21/40x+25/40<BR>\n" );
document.write( "This is slope intercept form<BR>\n" );
document.write( "The question asks for standard form.Ax+By=C<BR>\n" );
document.write( "So to convert:<BR>\n" );
document.write( "Multiply by 40 to get rid of fractions<BR>\n" );
document.write( "40y=21x+25<BR>\n" );
document.write( "Move y to other side<BR>\n" );
document.write( "0=21x-40y+25<BR>\n" );
document.write( "Move constant to other side<BR>\n" );
document.write( "21x-40y=-25<BR>\n" );
document.write( "Now it is in standard form.Ax+By=C<BR>\n" );
document.write( "Now to check the answer by plugging in both sets of points.\r<BR>\n" );
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document.write( "check\r<BR>\n" );
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document.write( "My answer<BR>\n" );
document.write( "Substituting x and y<BR>\n" );
document.write( "21x-40y=-25<BR>\n" );
document.write( "Using point -5/7,1/4<BR>\n" );
document.write( "21(-5/7)-40(1/4)=-25<BR>\n" );
document.write( "-15-10=-25<BR>\n" );
document.write( "-25=-25 TRUE<BR>\n" );
document.write( "Using point 1/3,4/5<BR>\n" );
document.write( "21(1/3)-40(4/5)=-25<BR>\n" );
document.write( "7-32=-25<BR>\n" );
document.write( "-25=-25 TRUE\r<BR>\n" );
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document.write( "Other tutors answer<BR>\n" );
document.write( "63(1/3)-4/5=-75<BR>\n" );
document.write( "21-4/5=75<BR>\n" );
document.write( "20 1/5=75 FALSE <BR>\n" );
document.write( "63(-5/7)-1/4=-75<BR>\n" );
document.write( "-45-1/4=75<BR>\n" );
document.write( "-46 1/4=75 FALSE<BR>\n" );
document.write( "Conclusion: His answer is wrong! </SPAN>\n" );
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