document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208624>Question 1208624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of △ABC are A(4, 4), B(-6, 2), and C(2, 0). Find an equation in slope y-intercept form for the median from vertex A. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846994 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=846994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<font color=red>Answer: </font> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+expr%281%2F2%29x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+expr%281%2F2%29x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "Let D be the midpoint of segment BC.<BR>\n" );
document.write( "Use the midpoint formula, or follow a process similar to <a  rel=nofollow HREF=\"https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1208318.html\">this question</a>, to find that D = (-2,1)\r<BR>\n" );
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document.write( "The equation we want to find is through A(4,4) and D(-2,1)<BR>\n" );
document.write( "Let's find the slope of this line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C15%2C%22Given%22%2C%22points%3A%22%2C%22%28%22%2Cx%5B1%5D%2C%22%2C%22%2Cy%5B1%5D%2C%22%29+=+%22%2C%22%284%2C4%29%22%2C%22and%22%2C%22%28%22%2Cx%5B2%5D%2C%22%2C%22%2Cy%5B2%5D%2C%22%29+=+%22%2C%22%28-2%2C1%29%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+slope+=+rise%2Frun+=+matrix%281%2C3%2C%22change%22%2C%22in%22%2C%22y%22%29%2Fmatrix%281%2C3%2C%22change%22%2C%22in%22%2C%22x%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%281+-+4%29%2F%28-2+-+4%29 ALIGN=MIDDLE  ALT=\"m+=+%281+-+4%29%2F%28-2+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-3%29%2F%28-6%29 ALIGN=MIDDLE  ALT=\"m+=+%28-3%29%2F%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+1%2F2 ALIGN=MIDDLE  ALT=\"m+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope of line AD is 1/2\r<BR>\n" );
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document.write( "Now apply point-slope form and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D+=+m%28x+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D+=+m%28x+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D+=+expr%281%2F2%29%28x+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D+=+expr%281%2F2%29%28x+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the slope\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4+=+expr%281%2F2%29%28x+-+4%29 ALIGN=MIDDLE  ALT=\"y-4+=+expr%281%2F2%29%28x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the coordinates of point A (you could also use the coordinates of point D)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4+=+expr%281%2F2%29x+-+2 ALIGN=MIDDLE  ALT=\"y-4+=+expr%281%2F2%29x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4+=+expr%281%2F2%29x+-+2%2B4 ALIGN=MIDDLE  ALT=\"y-4+=+expr%281%2F2%29x+-+2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+expr%281%2F2%29x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+expr%281%2F2%29x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This equation has slope 1/2 and y intercept 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28500%2C500%2C-7%2C5%2C-3%2C7%2C%0D%0Agraph%28500%2C500%2C-7%2C5%2C-3%2C7%2C-100%2C-100%2C0.5x%2B2%29%2C%0D%0Acircle%284%2C4%2C0.05%29%2Ccircle%284%2C4%2C0.07%29%2Ccircle%284%2C4%2C0.09%29%2Ccircle%284%2C4%2C0.11%29%2Ccircle%28-6%2C2%2C0.05%29%2Ccircle%28-6%2C2%2C0.07%29%2Ccircle%28-6%2C2%2C0.09%29%2Ccircle%28-6%2C2%2C0.11%29%2Ccircle%282%2C0%2C0.05%29%2Ccircle%282%2C0%2C0.07%29%2Ccircle%282%2C0%2C0.09%29%2Ccircle%282%2C0%2C0.11%29%2Ccircle%28-2%2C1%2C0.05%29%2Ccircle%28-2%2C1%2C0.07%29%2Ccircle%28-2%2C1%2C0.09%29%2Ccircle%28-2%2C1%2C0.11%29%2C%0D%0Aline%284%2C4%2C-6%2C2%29%2Cline%28-6%2C2%2C2%2C0%29%2Cline%282%2C0%2C4%2C4%29%2C%0D%0Alocate%284.2%2C3.8%2C%22A%22%29%2Clocate%28-5.8%2C1.8%2C%22B%22%29%2Clocate%282.2%2C-0.2%2C%22C%22%29%2Clocate%28-1.8%2C0.8%2C%22D%22%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+expr%281%2F2%29x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+expr%281%2F2%29x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in blue.\r<BR>\n" );
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document.write( "You can use a tool like <a  rel=nofollow HREF=\"https://www.geogebra.org/\">GeoGebra</a> to verify the answer. <a  rel=nofollow HREF=\"https://www.desmos.com/calculator\">Desmos</a> is also a good choice.<BR>\n" );
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