document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192569>Question 192569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M.<BR>\n" );
document.write( "The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000, -1999) all lie on line N.<BR>\n" );
document.write( "a.	Form the equations of both the lines.  Show your work.  <BR>\n" );
document.write( "b.	What are the co-ordinates of the point of intersection of lines M and N?<BR>\n" );
document.write( "c.	Write the co-ordinates of the intersections of lines M and N with the x-axis.<BR>\n" );
document.write( "d.	Write the co-ordinates of the intersection of lines M and N with the y-axis. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144587 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=144587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The points (1, 3),(2, 5),(8, 17),(50, 101),and(1000, 2001) all lie on line M.<BR>\n" );
document.write( "Slope=(y2-y1)/(x2-x1)=(5-3)/(2-1)=2/1=2<BR>\n" );
document.write( "Y=mX+b<BR>\n" );
document.write( "3=.5*1+b<BR>\n" );
document.write( "b=3-.5<BR>\n" );
document.write( "b=2.5 y intercept.<BR>\n" );
document.write( "y=.5x+2.5 (red line\r<BR>\n" );
document.write( "\n" );
document.write( "The points (1, -1),(2, -3),(8, -15),(50, -99),and(1000,-1999) all lie on line N.<BR>\n" );
document.write( "Slope=(-3+1)/(2-1)=-2/1=-2<BR>\n" );
document.write( "-1=-2*1+b<BR>\n" );
document.write( "b=-1+2<BR>\n" );
document.write( "b=1 y intercept.<BR>\n" );
document.write( "y=-2x+1 (green line)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+.5x+%2B2.5%2C+-2x+%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+.5x+%2B2.5%2C+-2x+%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions .5x +2.5 and -2x +1). <BR>\n" );
document.write( "a.	Form the equations of both the lines.  Show your work.  <BR>\n" );
document.write( "b.	What are the co-ordinates of the point of intersection of lines M and N?<BR>\n" );
document.write( "c.	Write the co-ordinates of the intersections of lines M and N with the x-axis.<BR>\n" );
document.write( "d.	Write the co-ordinates of the intersection of lines M and N with the y-axis. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );