document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319019>Question 319019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that passes through the point (-1,3) and is parallel to the line passing through the points (-2,-3) and (2,5). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228373 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=228373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the line.<BR>\n" );
document.write( "The formula for the slope of a line is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y2-y1%29%2F%28x2-x1%29=%285-%28-3%29%29%2F%282-%28-2%29%29=8%2F4=2 ALIGN=MIDDLE  ALT=\"m=%28y2-y1%29%2F%28x2-x1%29=%285-%28-3%29%29%2F%282-%28-2%29%29=8%2F4=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Parallel lines have identical slopes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m1=m2=2 ALIGN=MIDDLE  ALT=\"m1=m2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2Bb ALIGN=MIDDLE  ALT=\"y=2x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point (-1,3) to solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-2%2Bb ALIGN=MIDDLE  ALT=\"3=-2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5 ALIGN=MIDDLE  ALT=\"b=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Parallel Line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2x%2B5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2C+circle%28-1%2C3%2C.3%29%2C+circle%28-2%2C-3%2C.3%29%2Ccircle%282%2C5%2C.3%29%2Cblue%28line%28-2%2C-3%2C2%2C5%29%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2C2x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "I inadvertently solved for the perpendicular line first and then realized that you were looking for a parallel line. <BR>\n" );
document.write( "Here's how to do it if you're looking for a line perpendicular to your original line that goes through (-1,3).<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Perpendicular lines have slopes that are negative reciprocals,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m1%2Am2=-1 ALIGN=MIDDLE  ALT=\"m1%2Am2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Am2=-1 ALIGN=MIDDLE  ALT=\"2%2Am2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m2=-1%2F2 ALIGN=MIDDLE  ALT=\"m2=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope of the second line is <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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point (-1,3) to solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-%281%2F2%29%28-1%29%2Bb ALIGN=MIDDLE  ALT=\"3=-%281%2F2%29%28-1%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-1%2F2 ALIGN=MIDDLE  ALT=\"b=3-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5%2F2 ALIGN=MIDDLE  ALT=\"b=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Perpendicular Line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=-%281%2F2%29x%2B5%2F2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=-%281%2F2%29x%2B5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2C+circle%28-1%2C3%2C.3%29%2Ccircle%28-2%2C-3%2C.3%29%2Ccircle%282%2C5%2C.3%29%2Cblue%28line%28-2%2C-3%2C2%2C5%29%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2C-%281%2F2%29x%2B5%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );