document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147812>Question 147812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> perpendicular lines, one that passes through the point (3,-4) and the other that passes through the point (7,2).  please show your work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108204 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> perpendicular lines, one that passes through the point (3,-4) and the other that passes through the point (7,2).<BR>\n" );
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document.write( "Choose a convenient slope and write an equation for the (3,-4) coordinates<BR>\n" );
document.write( "Let m1 = 2<BR>\n" );
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document.write( "y - (-4) = 2(x - 3)<BR>\n" );
document.write( "y + 4 = 2x - 6<BR>\n" );
document.write( "y = 2x - 6 - 4<BR>\n" );
document.write( "y = 2x - 10 is one line<BR>\n" );
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document.write( "Slope relationship of perpendicular lines: m1*m2 = -1<BR>\n" );
document.write( "The slope of the second equation:<BR>\n" );
document.write( "2*m2 = -1<BR>\n" );
document.write( "m2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; coordinates (7,2)<BR>\n" );
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document.write( "y - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - 7)<BR>\n" );
document.write( "y - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2 ALIGN=MIDDLE  ALT=\"7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2 ALIGN=MIDDLE  ALT=\"7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2 ALIGN=MIDDLE  ALT=\"4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F2 ALIGN=MIDDLE  ALT=\"11%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the 2nd line<BR>\n" );
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document.write( "Graphing this we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+12%2C+-10%2C+9%2C+2x-10%2C+-.5x%2B5.5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+12%2C+-10%2C+9%2C+2x-10%2C+-.5x%2B5.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can check the equations by substituting the given values for x and finding y<BR>\n" );
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