document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458400>Question 458400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem, I've been stuck on it for hours.\r<BR>\n" );
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document.write( "Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point\r<BR>\n" );
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document.write( "A)(2,-1)<BR>\n" );
document.write( "b)(10,2)<BR>\n" );
document.write( "C) (8,4)\r<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 #314460 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point<BR>\n" );
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document.write( "Sketch the points on a coordinate system:<BR>\n" );
document.write( "The missing point is at the intersection of two<BR>\n" );
document.write( "lines: one is parallel to the x-axis and passes<BR>\n" );
document.write( "thru (2,4); the other is parallel to the line <BR>\n" );
document.write( "determined by (0,0)and(2,4).<BR>\n" );
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document.write( "Let the missing point be (x,y):<BR>\n" );
document.write( "The line parallel to the x-axis has equation y = 4<BR>\n" );
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document.write( "The line parallel to the line thru (0,0)and(2,4)<BR>\n" );
document.write( "has slope = 4/2 = 2 and passes thru (6,0)<BR>\n" );
document.write( "Form: y = mx+b<BR>\n" );
document.write( "0 = (2)(6) + b<BR>\n" );
document.write( "b = -12<BR>\n" );
document.write( "Equation: y = 2x-12<BR>\n" );
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document.write( "You want the point where y = 4 and y = 2x-12 intersect.<BR>\n" );
document.write( "Solve 4 = 2x-12<BR>\n" );
document.write( "2x = 16<BR>\n" );
document.write( "x = 8<BR>\n" );
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document.write( "The point of intersection is (8,4)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "A)(2,-1)<BR>\n" );
document.write( "b)(10,2)<BR>\n" );
document.write( "C) (8,4) \r<BR>\n" );
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