document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203198>Question 203198</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<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 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153303 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=153303\">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( "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<BR>\n" );
document.write( "Equation of line M:<BR>\n" );
document.write( "slope = (5-3)/(2-1) = 2<BR>\n" );
document.write( "Since y = mx + b, 3 = 2*1+b ; b = 1<BR>\n" );
document.write( "Equation is y = 2x + 1<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "Equation of line N:<BR>\n" );
document.write( "slope = (-3--1)/(2-1) = -2/1 = -2<BR>\n" );
document.write( "Since y = mx + b, -1 = -2*1 + b, b = 1<BR>\n" );
document.write( "Equation is y = -2x + 1<BR>\n" );
document.write( "---------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "b.what are the co-ordinates of the point of intersection of lines m and n<BR>\n" );
document.write( "2x+1 = -2x+1<BR>\n" );
document.write( "4x = 0<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "Substitute to solve for \"y\":<BR>\n" );
document.write( "y = 2*0+1<BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Point of intersection: (0,1)<BR>\n" );
document.write( "-----------------------------------------------------<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( "M intersects the x-axis when 0 = 2x+1; x = -1/2<BR>\n" );
document.write( "N intersects the x-axis when 0 = -2x+1: x = 1/2<BR>\n" );
document.write( "-----------------------------------------------------<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( "Bothe intersect the y-axis at (0,1)<BR>\n" );
document.write( "========================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );