document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=749136>Question 749136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the area of the triangle with the following vertices:\r<BR>\n" );
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document.write( "6.  (-3, -3), (0, -3), (1, 1)\r<BR>\n" );
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document.write( "7. (8, -2), (-0, -2), (2, -5)\r<BR>\n" );
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document.write( "8. .(-9, 0), (-1, 2), (-5, 4)\r<BR>\n" );
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document.write( "9. (3, -7), (6, 4), (-2, -3)\r<BR>\n" );
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document.write( "10. (-5, -7), (-1, -7), (-3, -4)\r<BR>\n" );
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document.write( "Find the area of the parallelogram with the following vertices:\r<BR>\n" );
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document.write( "11. (-2, 3), (5, 8), (3, 3), and (0, 8)\r<BR>\n" );
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document.write( "12. (-2, 7), (-4, 4), (-11, 4), and (-9, 7)\r<BR>\n" );
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document.write( "13. (-6, 6), (-6, 3), (-12, 3), and (-12, 6)\r<BR>\n" );
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document.write( "14. (12, -3), (5, -6), (5, -3), and (12, -6)\r<BR>\n" );
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document.write( "15. (-2, 2), (-6, 9), (-13, 9), and (-9, 2)\r<BR>\n" );
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document.write( "Find the equation of the line that passes through the following points. Put your equation into slope-intercept form:\r<BR>\n" );
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document.write( "16.  (4, 25), (8, 61)\r<BR>\n" );
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document.write( "17. (-8, -1), (0, -1)\r<BR>\n" );
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document.write( "18. (3, -41), (1, -9)\r<BR>\n" );
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document.write( "19. (-6, -70), (4, 50)\r<BR>\n" );
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document.write( "20. (9, -98), (0, 19)\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 #455797 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculate the area of the triangle with the following vertices:\r<BR>\n" );
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document.write( "6.  (-3, -3), (0, -3), (1, 1)\r<BR>\n" );
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document.write( "7. (8, -2), (-0, -2), (2, -5)\r<BR>\n" );
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document.write( "8. .(-9, 0), (-1, 2), (-5, 4)\r<BR>\n" );
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document.write( "9. (3, -7), (6, 4), (-2, -3)<BR>\n" );
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document.write( "10. A(-5,-7), B(-1,-7), C(-3,-4)\r<BR>\n" );
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document.write( "A...B...C...A<BR>\n" );
document.write( "-5 -1 -3 -1<BR>\n" );
document.write( "-7 -7 -4 -7<BR>\n" );
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document.write( "Get the sum of the diagonal products starting at the upper left.<BR>\n" );
document.write( "-5*-7 + -1*-4 + -3*-7 = 35 + 4 + 21 = 60<BR>\n" );
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document.write( "Get the sum of the diagonal products starting at the lower left.<BR>\n" );
document.write( "-7*-1 + -7*-3 + -4*-1 = 7 + 21 + 4 = 32<BR>\n" );
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document.write( "Area = 1/2 the difference = (60 - 32)/2<BR>\n" );
document.write( "Area = 14 sq units.<BR>\n" );
document.write( "Do the others the same way.<BR>\n" );
document.write( "Do the parallelograms below the same way, too.  It works for any # of points.<BR>\n" );
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document.write( "Find the area of the parallelogram with the following vertices:\r<BR>\n" );
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document.write( "11. (-2, 3), (5, 8), (3, 3), and (0, 8)\r<BR>\n" );
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document.write( "12. (-2, 7), (-4, 4), (-11, 4), and (-9, 7)\r<BR>\n" );
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document.write( "13. (-6, 6), (-6, 3), (-12, 3), and (-12, 6)\r<BR>\n" );
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document.write( "14. (12, -3), (5, -6), (5, -3), and (12, -6)\r<BR>\n" );
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document.write( "15. (-2, 2), (-6, 9), (-13, 9), and (-9, 2)\r<BR>\n" );
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document.write( "Find the equation of the line that passes through the following points. Put your equation into slope-intercept form:\r<BR>\n" );
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document.write( "16.  (4, 25), (8, 61)<BR>\n" );
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document.write( "Using determinants:<BR>\n" );
document.write( "|x +y 1|<BR>\n" );
document.write( "|4 25 1| = 0<BR>\n" );
document.write( "|8 61 1|<BR>\n" );
document.write( "Note:  + is for alignment<BR>\n" );
document.write( "x*(25-61) - y*(4-8) + 1*(244-200) = 0<BR>\n" );
document.write( "-36x + 4y + 44 = 0<BR>\n" );
document.write( "y = 9x - 11<BR>\n" );
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document.write( "Do the others the same way.<BR>\n" );
document.write( "17. (-8, -1), (0, -1)\r<BR>\n" );
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document.write( "18. (3, -41), (1, -9)\r<BR>\n" );
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document.write( "19. (-6, -70), (4, 50)\r<BR>\n" );
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document.write( "20. (9, -98), (0, 19)\r<BR>\n" );
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document.write( "I'll be glad to check your work if you email via the Thank You note.<BR>\n" );
document.write( "PS  Don't put a space after the comma in the points.<BR>\n" );
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