document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173853>Question 173853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok, I am lost.I now have parallel to the lines.  I need to find an equation of the line that is parallel to the line y=7x-3 and passes thru the point (8,7). I thought the answer was v-7 h-3 but am not positive.? Ty in advance. Judy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128732 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rule 1: Parallel lines have equal slopes.\r<BR>\n" );
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document.write( "Your given equation is in slope-intercept form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you can tell by inspection that the slope of the given line is 7.\r<BR>\n" );
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document.write( "Next you need to use the point-slope form of the line to find the desired equation.  The equation of a line with slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > passing through point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so just substitute the values you know, namely the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=+blue%287%29 ALIGN=MIDDLE  ALT=\"m=+blue%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the coordinates of the given point: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"green%28x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y%5B1%5D%29 ALIGN=MIDDLE  ALT=\"red%28y%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%288%29 ALIGN=MIDDLE  ALT=\"green%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%287%29 ALIGN=MIDDLE  ALT=\"red%287%29\"   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=cartoon%28y-red%28y%5B1%5D%29=blue%28m%29%28x-green%28x%5B1%5D%29%29%2Cy-red%287%29=blue%287%29%28x-green%288%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You should rearrange <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-7=7%28x-8%29 ALIGN=MIDDLE  ALT=\"y-7=7%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  by solving for y to put your equation for the desired line into slope-intercept form to match the given equation.  I'll leave that as an exercise for the student.  </SPAN>\n" );
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