document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170382>Question 170382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M.<BR>\n" );
document.write( "The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240) 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" );
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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 #125782 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=125782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3,9),(5,13),(15,33),(34,71),(678,1359), and (1234,2471) all lie on line M.<BR>\n" );
document.write( "First we find the slope=(y2-y1)/(x2-x1)<BR>\n" );
document.write( "Slope=(13-9)/(5-3)=4/2=2 for this slope.<BR>\n" );
document.write( "Now replace one set of (x,y) values in the line equation Y=mX+b & solve for the y intercept (b).<BR>\n" );
document.write( "9=2*3+b<BR>\n" );
document.write( "9=6+b<BR>\n" );
document.write( "b=9-6<BR>\n" );
document.write( "b=3 the y intercept for line M.<BR>\n" );
document.write( "Thus the equation for this line M is:<BR>\n" );
document.write( "y=2x+3 Equaton for line M (red line)<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "(3,-9),(5,-11),(15,-21),(34,-40),(678,-684), and (1234,-1240) all lie on line N.<BR>\n" );
document.write( "Doing the for these points & line:<BR>\n" );
document.write( "slope=(-11+9)/(5-3)=-2/2=-1 for this slope.<BR>\n" );
document.write( "-9=-1*3+b<BR>\n" );
document.write( "-9=-3+b<BR>\n" );
document.write( "b=-9+3<BR>\n" );
document.write( "b=-6 the y intercept.<BR>\n" );
document.write( "Thus the equation for this line is:<BR>\n" );
document.write( "y=-x-6 Equation for line N (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+2x+%2B3%2C+-x+-6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+%2B3%2C+-x+-6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and -x -6).<BR>\n" );
document.write( "Intercept=(-3,-3)<BR>\n" );
document.write( "X axis intercept for M=-1.5, for N=-6<BR>\n" );
document.write( "Y axis intercept for M=3, for N=-6  <BR>\n" );
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