document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129600>Question 1129600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.\r<BR>\n" );
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document.write( "Contains the point (-3, 5) and is PARALLEL to the line x &#8722; 5y = 6\r<BR>\n" );
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document.write( "Contains the point (-4, 7) and is PERPENDICULAR to the line 3x &#8722; y = 4\r<BR>\n" );
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document.write( "I took this question from the example questions in the textbook to prepare myself for an exam that is coming up soon. I've been stuck on these two problems for around an hour so any and all help is greatly appreciated. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746188 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=746188\">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=+x+-+5y+=+6+ ALIGN=MIDDLE  ALT=\"+x+-+5y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5y+=+x+-+6+ ALIGN=MIDDLE  ALT=\"+5y+=+x+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F5%29%2Ax+-+6%2F5+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F5%29%2Ax+-+6%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Any line parallel to this line will have<BR>\n" );
document.write( "slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+m+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "( -3,5 )<BR>\n" );
document.write( "Use the general point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+5+%29+%2F+%28+x+-%28-3%29+%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+%28+y+-+5+%29+%2F+%28+x+-%28-3%29+%29+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+5+=+%281%2F5%29%2A%28+x+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+y+-+5+=+%281%2F5%29%2A%28+x+%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=+5y+-+25+=+x+%2B+3+ ALIGN=MIDDLE  ALT=\"+5y+-+25+=+x+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+5y+=+-28+ ALIGN=MIDDLE  ALT=\"+x+-+5y+=+-28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Does it go through ( -3,5 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+-+5%2A5+=+-28+ ALIGN=MIDDLE  ALT=\"+-3+-+5%2A5+=+-28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+-+25+=+-28+ ALIGN=MIDDLE  ALT=\"+-3+-+25+=+-28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-28+=+-28+ ALIGN=MIDDLE  ALT=\"+-28+=+-28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+y+=+4+ ALIGN=MIDDLE  ALT=\"+3x+-+y+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3x+-+4+ ALIGN=MIDDLE  ALT=\"+y+=+3x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Any line perpendicular to this line will have<BR>\n" );
document.write( "slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-1%2F3+ ALIGN=MIDDLE  ALT=\"+m+=+-1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5B1%5D+=+-1%2Fm+ ALIGN=MIDDLE  ALT=\"+m%5B1%5D+=+-1%2Fm+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "( -4,7 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+7+%29+%2F+%28+x+-%28-4%29+%29+=+-1%2F3+ ALIGN=MIDDLE  ALT=\"+%28+y+-+7+%29+%2F+%28+x+-%28-4%29+%29+=+-1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+x+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+3%2A%28+x+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+y+-+7+%29+=+-%28+x+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+3%2A%28+y+-+7+%29+=+-%28+x+%2B+4+%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+-+21+=+-x+-+4+ ALIGN=MIDDLE  ALT=\"+3y+-+21+=+-x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+17+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(-4,7)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+%2B+3%2A7+=+17+ ALIGN=MIDDLE  ALT=\"+-4+%2B+3%2A7+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+%2B+21+=+17+ ALIGN=MIDDLE  ALT=\"+-4+%2B+21+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+17+=+17+ ALIGN=MIDDLE  ALT=\"+17+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );