document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614017>Question 614017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The coordinate points of a parallelogram are A(-3,-1) B(-1,7) C(2,2) D(0,-6).<BR>\n" );
document.write( "(a) What is slope of segment CD?  A.) 8/2 B.) -2/8<BR>\n" );
document.write( "(b) What is the slope of any segment that would be perpendicular to segment CD?<BR>\n" );
document.write( "(c) Use the slope determined in the previous problem to draw a height for the parallelogram from point A to segment CD. Label the point where the height intersects segment CD as point E. What are the coordinates of point E?<BR>\n" );
document.write( "A.) 8/2 B.) -2/8<BR>\n" );
document.write( "I really need help figuring out how to find these coordinates! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386368 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=386368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The coordinate points of a parallelogram are A(-3,-1) B(-1,7) C(2,2) D(0,-6).<BR>\n" );
document.write( "(a) What is slope of segment CD?<BR>\n" );
document.write( "slope = (-6-2)/(0-2) = -8/-2 = 4<BR>\n" );
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document.write( " (b) What is the slope of any segment that would be perpendicular to segment CD?<BR>\n" );
document.write( "Ans: -1/4<BR>\n" );
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document.write( "(c) Use the slope determined in the previous problem to draw a height for the parallelogram from point A to segment CD. Label the point where the height intersects segment CD as point E. What are the coordinates of point E?<BR>\n" );
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document.write( "A(-3,-1) slope = -1/4<BR>\n" );
document.write( "y = mx+b<BR>\n" );
document.write( "-1 = (-1/4)(-3) + b<BR>\n" );
document.write( "b = -1 - (3/4)<BR>\n" );
document.write( "b = -7/4<BR>\n" );
document.write( "Equation: y = (-1/4)x -(7/4)<BR>\n" );
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document.write( "Find coordinates of E, which is the intersection of AE and CD.<BR>\n" );
document.write( "Equation of CD:<BR>\n" );
document.write( "slope = 4 ; D(0,-6)<BR>\n" );
document.write( "y = 4x-6<BR>\n" );
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document.write( "Solve: for the intersection:<BR>\n" );
document.write( "4x-6 = (-1/4)x -(7/4)<BR>\n" );
document.write( "(17/4)x = 17/4<BR>\n" );
document.write( "x = 1<BR>\n" );
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document.write( "Solve for \"y\":<BR>\n" );
document.write( "y = 4x-6<BR>\n" );
document.write( "y = 4-6 = -2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "E(1,-2)<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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