document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024752>Question 1024752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line:<BR>\n" );
document.write( "Parallel to the line 3x-2y=26 and passing (a)half as far from the origin; (b)at a distance 3 from the origin; (c)at a distance 3square root13 from the given line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640121 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=640121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) Half as far from the origin;<BR>\n" );
document.write( "is the more interesting question.  \r<BR>\n" );
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document.write( "Slope for the parallel line would be also 3/2, and the equation starts as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=c ALIGN=MIDDLE  ALT=\"3x-2y=c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=-3x%2Bc ALIGN=MIDDLE  ALT=\"-2y=-3x%2Bc\"   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%2Bc%2F%28-2%29 ALIGN=MIDDLE  ALT=\"y=%283%2F2%29x%2Bc%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or say as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F2%29x%2Bb ALIGN=MIDDLE  ALT=\"y=%283%2F2%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you do not yet know b.\r<BR>\n" );
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document.write( "How far is the GIVEN line from origin?<BR>\n" );
document.write( "You need the perpendicular line containing the origin for this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F3%29x ALIGN=MIDDLE  ALT=\"y=-%282%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is this perpendicular line.<BR>\n" );
document.write( "WHERE does this line intersect with the given line of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=26 ALIGN=MIDDLE  ALT=\"3x-2y=26\"   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=-2y=-3x%2B26 ALIGN=MIDDLE  ALT=\"-2y=-3x%2B26\"   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-13 ALIGN=MIDDLE  ALT=\"y=%283%2F2%29x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find intersection point of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=%283%2F2%29x-13%2Cy=-%282%2F3%29x%29 ALIGN=MIDDLE  ALT=\"system%28y=%283%2F2%29x-13%2Cy=-%282%2F3%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Intersection of the perpendicular lines is  (-4,6).\r<BR>\n" );
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document.write( "The line you want in question (a) will intersect or contain the MIDPOINT of  (0,0) and  (-4,6).<BR>\n" );
document.write( "CAN YOU DO THE REST FROM HERE? </SPAN>\n" );
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