document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153151>Question 153151</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh>elementary and intermediate algebra concepts and applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm really having a hard time figuring these out can somebody help me please?\r<BR>\n" );
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document.write( "1.	How do we write the equation of a horizontal line?  What would be an example?<BR>\n" );
document.write( "2.	How do we write the equation of a vertical line?  What would be an example? <BR>\n" );
document.write( "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. \r<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 #112658 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=112658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.	How do we write the equation of a horizontal line?  What would be an example?\r<BR>\n" );
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document.write( "The equation of a horizontal line does not have an x term.  So therefore, y=mx+b becomes y=b.  Set a value for b, such as y=3, and there you have it.\r<BR>\n" );
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document.write( "2.	How do we write the equation of a vertical line?  What would be an example? \r<BR>\n" );
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document.write( "This is just like a horizontal line, only there is no y value.   So like y=b, you would just have x=b.  once again, set a value for b, such as x=2, and there you have it.\r<BR>\n" );
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document.write( "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.  \r<BR>\n" );
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document.write( "First get the slopes.  slope equals the change in y over the change in x.  So just grab any two coordinates of each line and plug in the y and x values.  Let's use the easiest:\r<BR>\n" );
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document.write( "Line M:   3-5/9-13=-2/-4 or 1/2<BR>\n" );
document.write( "So y=mx+b becomes y=1/2x+b<BR>\n" );
document.write( "Plug in coordinates again,<BR>\n" );
document.write( "3=1/2(9)+b\r<BR>\n" );
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document.write( "Solve<BR>\n" );
document.write( "3=4.5+b<BR>\n" );
document.write( "-1.5=b\r<BR>\n" );
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document.write( "~~~y=1/2x-3/2----------------Line M~~~\r<BR>\n" );
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document.write( "Line N:   3-5/-9--11=-2/2 or -1<BR>\n" );
document.write( "y=-x+b\r<BR>\n" );
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document.write( "Plug in coordinates<BR>\n" );
document.write( "3=-(-9)+b<BR>\n" );
document.write( "3=9+b\r<BR>\n" );
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document.write( "Solve<BR>\n" );
document.write( "-6=b\r<BR>\n" );
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document.write( "~~~y=-x-6--------------------------Line N~~~\r<BR>\n" );
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document.write( "b.	What are the co-ordinates of the point of intersection of lines M and N?\r<BR>\n" );
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document.write( "You must solve the system of:\r<BR>\n" );
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document.write( "y=1/2x-3/2<BR>\n" );
document.write( "y=-x-6\r<BR>\n" );
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document.write( "Set the values equal to each other<BR>\n" );
document.write( "-x-6=1/2x-3/2\r<BR>\n" );
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document.write( "Solve<BR>\n" );
document.write( "-1/2x-6=-3/2<BR>\n" );
document.write( "-1/2x=9/2<BR>\n" );
document.write( "x=9\r<BR>\n" );
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document.write( "Plug in x to get y.<BR>\n" );
document.write( "y=-x-6<BR>\n" );
document.write( "y=-9-6<BR>\n" );
document.write( "y=-15\r<BR>\n" );
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document.write( "(9,-15)\r<BR>\n" );
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document.write( "c.	Write the co-ordinates of the intersections of lines M and N with the x-axis.\r<BR>\n" );
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document.write( "(9,-15)--------------------------9 is x.\r<BR>\n" );
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document.write( "d.	Write the co-ordinates of the intersection of lines M and N with the y-axis. \r<BR>\n" );
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document.write( "(9,-15)------------------------- -15 is y.\r<BR>\n" );
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