document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984199>Question 984199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I'm having trouble breaking down problems like the following:<BR>\n" );
document.write( "   Find the distance from (-6,2) to the line defined by y=-2x-5. Express as a   radical or a number rounded to the nearest hundredth. <BR>\n" );
document.write( "If you could please explain the steps to solve this problem as simple as possible it would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604989 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=604989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x-5 ALIGN=MIDDLE  ALT=\"y=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be represented as an ordered pair  (x, -2x-5), since y is equated to  the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x-5 ALIGN=MIDDLE  ALT=\"-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  What you really want is the point of intersection for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x-5 ALIGN=MIDDLE  ALT=\"y=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the line from  (-6,2) perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x-5 ALIGN=MIDDLE  ALT=\"y=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then you want the distance between these two points.\r<BR>\n" );
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document.write( "Line with <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;\" > containing point  (-6,2)?<BR>\n" );
document.write( "Perpendicular lines in a plane have slopes which are negative reciprocal of each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2=%281%2F2%29%28x-%28-6%29%29 ALIGN=MIDDLE  ALT=\"y-2=%281%2F2%29%28x-%28-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using point slope form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29x%2B2%2A6%2B2 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29x%2B2%2A6%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F2%2B14 ALIGN=MIDDLE  ALT=\"y=x%2F2%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Intersection of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F2%2B14 ALIGN=MIDDLE  ALT=\"y=x%2F2%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x-5 ALIGN=MIDDLE  ALT=\"y=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2%2B14=-2x-5 ALIGN=MIDDLE  ALT=\"x%2F2%2B14=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B28=-4x-10 ALIGN=MIDDLE  ALT=\"x%2B28=-4x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=-28-10 ALIGN=MIDDLE  ALT=\"5x=-28-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-38%2F5 ALIGN=MIDDLE  ALT=\"x=-38%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=51%2F5 ALIGN=MIDDLE  ALT=\"y=51%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distance Formula for distance between  (-38/5,51/5) and  (-6,2) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28sqrt%28%28-6-%28-38%2F5%29%29%5E2%2B%282-51%2F5%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28sqrt%28%28-6-%28-38%2F5%29%29%5E2%2B%282-51%2F5%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "some simplification and computation still needed. </SPAN>\n" );
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