document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281612>Question 281612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in writing equations for lines that are parallel to a given line and passes through a given point. For example:\r<BR>\n" );
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document.write( "4y-5=2x ; (-3,-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204589 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathematicians><B>Mathematicians(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathematicians><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=Mathematicians><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+-+5+=+2x ALIGN=MIDDLE  ALT=\"4y+-+5+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we need to find the slope from the above equation, in order to do that, we want to put it in:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+-+5+=+2x ALIGN=MIDDLE  ALT=\"4y+-+5+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > add 5 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+2x+%2B+5 ALIGN=MIDDLE  ALT=\"4y+=+2x+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > divide 4 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1%2F2%2Ax+%2B+5%2F4 ALIGN=MIDDLE  ALT=\"y+=+1%2F2%2Ax+%2B+5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "the coefficient of x is <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;\" >, so our slope is <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;\" >\r<BR>\n" );
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document.write( "From there, we can use this formula to find the equation of the line parallel to the point (-3,-2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+-+y+=+m%28X+-+x%29 ALIGN=MIDDLE  ALT=\"Y+-+y+=+m%28X+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where lowercase y and x is from the point and m is slope.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+-+%28-2%29+=+1%2F2+%28X+-+%28-3%29%29 ALIGN=MIDDLE  ALT=\"Y+-+%28-2%29+=+1%2F2+%28X+-+%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute the  1/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+%2B+2+=+1%2F2+%2A+X+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"Y+%2B+2+=+1%2F2+%2A+X+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 2 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Y+=+1%2F2+%2A+X+-+1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28Y+=+1%2F2+%2A+X+-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > final answer </SPAN>\n" );
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