document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66874>Question 66874</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that is equidistant from the points (-6,4) and (0,8).  Write the equation in slope-intercept form.\r<BR>\n" );
document.write( "\n" );
document.write( "Please help me!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47564 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line you want will be perpendicular to the line <BR>\n" );
document.write( "through the points (-6,4) and (0,8), so you know that <BR>\n" );
document.write( "if y=mx + b is the equation of the line through<BR>\n" );
document.write( "(-6,4) and (0,8), then the slope of the perpendicular is<BR>\n" );
document.write( "-1/m. If it's midway between the points, you need to sind that <BR>\n" );
document.write( "midpoint.<BR>\n" );
document.write( "First find the slope you want.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+4%29+%2F+%28x+-+%28-6%29%29+=+%288+-+4%29+%2F+%280+-+%28-6%29%29 ALIGN=MIDDLE  ALT=\"%28y+-+4%29+%2F+%28x+-+%28-6%29%29+=+%288+-+4%29+%2F+%280+-+%28-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+4%29+%2F+%28x+%2B+6%29+=+4+%2F+6%29 ALIGN=MIDDLE  ALT=\"%28y+-+4%29+%2F+%28x+%2B+6%29+=+4+%2F+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%28y+-+4%29+=+4%2A%28x+%2B+6%29 ALIGN=MIDDLE  ALT=\"6%2A%28y+-+4%29+=+4%2A%28x+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+-+12+=+2x+%2B+12 ALIGN=MIDDLE  ALT=\"3y+-+12+=+2x+%2B+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+2x+%2B+24 ALIGN=MIDDLE  ALT=\"3y+=+2x+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x+%2B+8 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check this. Does this line go through (-6,4) and (0,8)?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+%282%2F3%29%2A%28-6%29+%2B+8 ALIGN=MIDDLE  ALT=\"4+=+%282%2F3%29%2A%28-6%29+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+-4+%2B+8 ALIGN=MIDDLE  ALT=\"4+=+-4+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+4 ALIGN=MIDDLE  ALT=\"4+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+%282%2F3%29%2A0+%2B+8 ALIGN=MIDDLE  ALT=\"8+=+%282%2F3%29%2A0+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+8 ALIGN=MIDDLE  ALT=\"8+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "The perpendicular line will have slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+%281%2F%282%2F3%29%29+=+-%283%2F2%29 ALIGN=MIDDLE  ALT=\"-+%281%2F%282%2F3%29%29+=+-%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find midpoint between (-6,4) and (0,8)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bmid%5D+=+%288+%2B+4%29+%2F+2 ALIGN=MIDDLE  ALT=\"y%5Bmid%5D+=+%288+%2B+4%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bmid%5D+=+6 ALIGN=MIDDLE  ALT=\"y%5Bmid%5D+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bmid%5D+=+%28-6+%2B+0%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5Bmid%5D+=+%28-6+%2B+0%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bmid%5D+=+-3 ALIGN=MIDDLE  ALT=\"x%5Bmid%5D+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "midpoint is (-3,6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+6%29+%2F+%28x+-+%28-3%29%29+=+-%283%2F2%29 ALIGN=MIDDLE  ALT=\"%28y+-+6%29+%2F+%28x+-+%28-3%29%29+=+-%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28y+-+6%29+=+%28-3%29%2A%28x+%2B+3%29 ALIGN=MIDDLE  ALT=\"2%2A%28y+-+6%29+=+%28-3%29%2A%28x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+-+12+=+-3x+-+9 ALIGN=MIDDLE  ALT=\"2y+-+12+=+-3x+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=++-%283%2F2%29x+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"y+=++-%283%2F2%29x+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "Does it go through (-3,6)?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+-%283%2F2%29%2A%28-3%29+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"6+=+-%283%2F2%29%2A%28-3%29+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+9%2F2+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"6+=+9%2F2+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+6 ALIGN=MIDDLE  ALT=\"6+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );