document.write( "Question 331130: what are the x-intercepts and y-intercepts for the ellispe \"x%5E2%2F9+%2B+y%5E2%2F36+=+1\" \n" ); document.write( "
Algebra.Com's Answer #237408 by Edwin McCravy(20060)\"\" \"About 
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document.write( "The standard forms for an ellipse with center at the origin is:\r\n" );
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document.write( "\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2\"\"%22%22=%22%22\"\"1\" for ellipses like this \"drawing%2850%2C25%2C-10%2C10%2C-5%2C5%2C+arc%280%2C0%2C18%2C-8%29+++%29\" where a > b\r\n" );
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document.write( "\"x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2\"\"%22%22=%22%22\"\"1\" for ellipses like this \"drawing%2825%2C50%2C-5%2C5%2C-10%2C10%2C+arc%280%2C0%2C8%2C-18%29+++%29\" where a < b\r\n" );
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document.write( "\"x%5E2%2F9+%2B+y%5E2%2F36+=+1\"\r\n" );
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document.write( "Since the larger number is under the expression in y the ellipse is \r\n" );
document.write( "of the form \"x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2\"\"%22%22=%22%22\"\"1\" \r\n" );
document.write( "and is like this \"drawing%2825%2C50%2C-5%2C5%2C-10%2C10%2C+arc%280%2C0%2C8%2C-18%29+++%29\" \r\n" );
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document.write( "\"a%5E2=36\" or \"a=6\", \"b%5E2=9\", or \"b=3\"\r\n" );
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document.write( "We start with a set of axes like this:\r\n" );
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document.write( "Let's draw a green vertical line beginning at the center, which is\r\n" );
document.write( "(0,0) and going upward \"a=6\" units, which is one-half the\r\n" );
document.write( "major axis.  This ends in the point (0,6) which is the upper\r\n" );
document.write( "vertex, and which is one of the y-intercepts: \r\n" );
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document.write( "Next we draw another vertical line beginning at the center\r\n" );
document.write( "(0,0) and going downward \"a=6\" units, which is one-half the\r\n" );
document.write( "major axis.  This ends in the point (0,-6) which is the lower\r\n" );
document.write( "vertex, and which is the other y-intercept:  \r\n" );
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document.write( "That whole green line is the major axis, and it is 12 units long.\r\n" );
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document.write( "Let's draw a green horizontal line beginning at the center, which is\r\n" );
document.write( "(0,0) and going left \"b=3\" units, which is one-half the\r\n" );
document.write( "minor axis.  This ends in the point (-3,0) which is the left co-vertex,\r\n" );
document.write( "and which is one of the x-intercepts: \r\n" );
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document.write( "Next we draw another green horizontal line beginning at the center\r\n" );
document.write( "(0,0) and going right \"a=3\" units, which is one-half the\r\n" );
document.write( "minor axis.  This ends in the point (3,0) which is the right\r\n" );
document.write( "co-vertex, and which is the other x-intercept:  \r\n" );
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document.write( "That whole green line is the minor axis, and it is 6 units long.\r\n" );
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document.write( "Now we can sketch in the ellipse:\r\n" );
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document.write( "The x-intercepts are (-3,0) and (3,0)\r\n" );
document.write( "The y-intercepts are the points (0,-6) and (0,6)\r\n" );
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document.write( "Edwin

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