document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954266>Question 954266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f the line passing through the points (a, 2) and (6,7) is parallel to the line passing through the points (4, 8) and (a +3, 2) , what is the value of a? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582798 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f the line passing through the points (a, 2) and (6,7) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=mx%2Bb ALIGN=MIDDLE  ALT=\"f%28x%29=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > if (6,7), then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=m%2A6%2Bb ALIGN=MIDDLE  ALT=\"7=m%2A6%2Bb\"   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=7=6m%2Bb ALIGN=MIDDLE  ALT=\"7=6m%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=mx%2Bb ALIGN=MIDDLE  ALT=\"f%28x%29=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > if (a,2), then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=m%2Aa%2Bb ALIGN=MIDDLE  ALT=\"2=m%2Aa%2Bb\"   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=2=m%2Aa%2Bb ALIGN=MIDDLE  ALT=\"2=m%2Aa%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2\r<BR>\n" );
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document.write( "subtract eq.2 from eq 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-2=6m-am%2Bb-b ALIGN=MIDDLE  ALT=\"7-2=6m-am%2Bb-b\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.1a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=%286-a%29m ALIGN=MIDDLE  ALT=\"5=%286-a%29m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%286-a%29=m ALIGN=MIDDLE  ALT=\"5%2F%286-a%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.a\r<BR>\n" );
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document.write( "the line that is parallel to the line passing through the points (4, 8) and (a +3, 2) ,<BR>\n" );
document.write( "parallel lines have same slope<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=mx%2Bb ALIGN=MIDDLE  ALT=\"f%28x%29=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > if (4,8), then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=4m%2Bb ALIGN=MIDDLE  ALT=\"8=4m%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......(3)\r<BR>\n" );
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document.write( "and (a +3, 2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=%28a%2B3%29m%2Bb ALIGN=MIDDLE  ALT=\"2=%28a%2B3%29m%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >....(4)<BR>\n" );
document.write( "subtract eq.4 from eq 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-2=4m%2Bb-%28a%2B3%29m-b ALIGN=MIDDLE  ALT=\"8-2=4m%2Bb-%28a%2B3%29m-b\"   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=6=4m-%28a%2B3%29m ALIGN=MIDDLE  ALT=\"6=4m-%28a%2B3%29m\"   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=6=%284-%28a%2B3%29%29m ALIGN=MIDDLE  ALT=\"6=%284-%28a%2B3%29%29m\"   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=6=%284-a-3%29m ALIGN=MIDDLE  ALT=\"6=%284-a-3%29m\"   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=6=%281-a%29m ALIGN=MIDDLE  ALT=\"6=%281-a%29m\"   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=6%2F%281-a%29=m ALIGN=MIDDLE  ALT=\"6%2F%281-a%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >.................eq.a1\r<BR>\n" );
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document.write( "from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%286-a%29=m ALIGN=MIDDLE  ALT=\"5%2F%286-a%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.a and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%281-a%29=m ALIGN=MIDDLE  ALT=\"6%2F%281-a%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >.................eq.a1 we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%281-a%29=5%2F%286-a%29 ALIGN=MIDDLE  ALT=\"6%2F%281-a%29=5%2F%286-a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >................solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   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=6%286-a%29=5%281-a%29 ALIGN=MIDDLE  ALT=\"6%286-a%29=5%281-a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-6a=5-5a ALIGN=MIDDLE  ALT=\"36-6a=5-5a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-5=6a-5a ALIGN=MIDDLE  ALT=\"36-5=6a-5a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31=a ALIGN=MIDDLE  ALT=\"31=a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%286-a%29=m ALIGN=MIDDLE  ALT=\"5%2F%286-a%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%286-31%29=m ALIGN=MIDDLE  ALT=\"5%2F%286-31%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28-25%29=m ALIGN=MIDDLE  ALT=\"5%2F%28-25%29=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F5=m ALIGN=MIDDLE  ALT=\"-1%2F5=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now we need to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " the points (a, 2) and (6,7) are  (31, 2) and (6,7)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28-1%2F5%29x%2Bb ALIGN=MIDDLE  ALT=\"f%28x%29=%28-1%2F5%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=%28-1%2F5%2931%2Bb ALIGN=MIDDLE  ALT=\"2=%28-1%2F5%2931%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=%28-31%2F5%29%2Bb ALIGN=MIDDLE  ALT=\"2=%28-31%2F5%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=2%2B31%2F5=b ALIGN=MIDDLE  ALT=\"2%2B31%2F5=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=41%2F5 ALIGN=MIDDLE  ALT=\"b=41%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\n" );
document.write( " parallel line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29 ALIGN=MIDDLE  ALT=\"g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >: the points (4, 8) and (a +3, 2) are  (4, 8) and (34, 2)  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28-1%2F5%29x%2Bb ALIGN=MIDDLE  ALT=\"f%28x%29=%28-1%2F5%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=%28-1%2F5%294%2Bb ALIGN=MIDDLE  ALT=\"8=%28-1%2F5%294%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=%28-4%2F5%29%2Bb ALIGN=MIDDLE  ALT=\"8=%28-4%2F5%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=8%2B4%2F5=b ALIGN=MIDDLE  ALT=\"8%2B4%2F5=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=44%2F5 ALIGN=MIDDLE  ALT=\"b=44%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your lines are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28-1%2F5%29x%2B41%2F5 ALIGN=MIDDLE  ALT=\"f%28x%29=%28-1%2F5%29x%2B41%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and parallel line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%28-1%2F5%29x%2B44%2F5 ALIGN=MIDDLE  ALT=\"g%28x%29=%28-1%2F5%29x%2B44%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<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%28+600%2C+600%2C+-15%2C+45%2C+-15%2C+15%2C%0D%0Acircle%284%2C8%2C.25%29%2Ccircle%286%2C7%2C.25%29%2Ccircle%2831%2C2%2C.25%29%2Ccircle%2834%2C2%2C.25%29%2C%0D%0Alocate%284%2C8%2Cp%284%2C8%29%29%2Clocate%286%2C7%2Cp%286%2C7%29%29%2Clocate%2831%2C2%2Cp%2831%2C2%29%29%2Clocate%2834%2C2%2Cp%2834%2C2%29%29%2C%0D%0A+graph%28+600%2C+600%2C+-15%2C+45%2C+-15%2C+15%2C+%28-1%2F5%29x%2B41%2F5%2C%28-1%2F5%29x%2B44%2F5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );