document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670835>Question 670835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a line intersects the x-axis at (a,0) and the y-axis at (0,b) at what point does it intersect the line y=x?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417150 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=417150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a line intersects the x-axis at (a,0) and the y-axis at (0,b) at what point does it intersect the line y=x?<BR>\n" );
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document.write( "Equation of the line thru (a,0) and (0,b)<BR>\n" );
document.write( "y/b + x/a = 1<BR>\n" );
document.write( "y = x<BR>\n" );
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document.write( "Solve for x and y:<BR>\n" );
document.write( "x/b + x/a = 1<BR>\n" );
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document.write( "ax + bx = ab<BR>\n" );
document.write( "(a+b)x = ab<BR>\n" );
document.write( "x = (ab)/(a+b)<BR>\n" );
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document.write( "Since x = y, the point of intersection is (ab/(a+b) , ab/(a+b))<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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