document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84566>Question 84566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the midpoint between (-7,2) and (3,0)? i tried using the midpoint formula, but i still cannot figure out the right answer.<BR>\n" );
document.write( "thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60911 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=60911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the two points (-7, 2) and (3,0). Find the midpoint.<BR>\n" );
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document.write( "The x value of the midpoint is halfway between the two x values for the end points. In<BR>\n" );
document.write( "other words, the x value of the midpoint is halfway between -7 and +3 on the number line.  <BR>\n" );
document.write( "You can get this by calculating the distance between -7 and +3. The distance is 10 units <BR>\n" );
document.write( "(you can count this out by plotting -7 and +3 on the number line and then counting the <BR>\n" );
document.write( "number of units between the two points. You will see that it is 10 units. Half of that <BR>\n" );
document.write( "length is 10/2 or 5 units. Therefore the halfway point between -7 and +3 lies either 5 <BR>\n" );
document.write( "units to the right of -7 or 5 units to the left of +3.  In either case the midpoint <BR>\n" );
document.write( "between these values is at -2.  Since we were working with the x values, we can now say <BR>\n" );
document.write( "that the x value of the midpoint is -2.  <BR>\n" );
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document.write( "Another way we could have gotten the x value of the midpoint is to just average the x<BR>\n" );
document.write( "values of the two given end points.  In other words, average -7 and +3. Do this by adding<BR>\n" );
document.write( "them together and dividing them by 2:<BR>\n" );
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document.write( "Averaging ... (-7 + 3)/2 = -4/2 = -2.<BR>\n" );
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document.write( "This agrees with what we found on the number line by counting up 5 from -7 or down 5 from<BR>\n" );
document.write( "+3.<BR>\n" );
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document.write( "So we now know that the x value of the midpoint is -2.<BR>\n" );
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document.write( "Next we need to find the y value of the midpoint.  The y values of the two given endpoints<BR>\n" );
document.write( "are 2 and 0. There are 2 units of difference between them. So halfway between them is<BR>\n" );
document.write( "1 unit. This means that the midpoint between them is 1 less than 2 or 1 more than zero.<BR>\n" );
document.write( "This means that the y value of the midpoint is +1.<BR>\n" );
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document.write( "We could also have gotten this result by averaging the y values of the 2 endpoints.<BR>\n" );
document.write( "In other words, averaging +2 and 0.  Add them together and divide by 2:<BR>\n" );
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document.write( "(2 + 0)/2 = 2/2 = 1<BR>\n" );
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document.write( "That's all there is to it. The x value for the midpoint is -2 and the y value for the<BR>\n" );
document.write( "midpoint is +1 so the midpoint is given by (-2, +1)<BR>\n" );
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document.write( "Hope this helps you to see how to get the midpoint for this problem. </SPAN>\n" );
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