document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321434>Question 321434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230223 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=230223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (20,42) & (10,52)<BR>\n" );
document.write( "Y=mX+b<BR>\n" );
document.write( "m=slope=(Y2-Y1)/(x2-X1)=(52-42)/(10-20)=10/-10=-1 is the slope.<BR>\n" );
document.write( "42=-1*20+b<BR>\n" );
document.write( "42=-20+b<BR>\n" );
document.write( "b=42+20<BR>\n" );
document.write( "b=62<BR>\n" );
document.write( "Y=-X+63 is the line equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+75%2C+-10%2C+70%2C+-x+%2B63%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+75%2C+-10%2C+70%2C+-x+%2B63%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 75, y from -10 to 70, -x +63).  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );