document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187648>Question 187648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Draw a graph of the line passing through the points(-6,-7) and(-3,-5).Does the<BR>\n" );
document.write( "point (3,-1)also lie on this line?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140681 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a graph of the line passing through the points(-6,-7) and(-3,-5).Does the<BR>\n" );
document.write( "point (3,-1)also lie on this line?<BR>\n" );
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document.write( "Algebraically:<BR>\n" );
document.write( "slope m = (-5+7)/(-3+6) = 2/3<BR>\n" );
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document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "y - (-5) = (2/3)(x - (-3))<BR>\n" );
document.write( "y + 5 = (2/3)x + 2<BR>\n" );
document.write( "y = (2/3)x - 3 (this is the equation of the line)<BR>\n" );
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document.write( "Testing the point:(3,-1)<BR>\n" );
document.write( "y = (2/3)x - 3<BR>\n" );
document.write( "-1 = (2/3)3 - 3<BR>\n" );
document.write( "-1 = 2 - 3<BR>\n" );
document.write( "-1 = -1<BR>\n" );
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document.write( "So, YES, the point does lie on the line.<BR>\n" );
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