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Submitted by sextri on Tue, 2012-05-15 21:45
due on Sat, 2012-05-19 21:46
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Indicate the equation of the given line in standard form. The line containing the diagonal of a square whose vertices are...

Indicate the equation of the given line in standard form.

The line containing the diagonal of a square whose vertices are A(-3, 3), B(3, 3), C(3, -3), and D(-3, -3). Find two equations, one for each diagonal.

Answer
Submitted by zext on Tue, 2012-05-15 22:00
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xxxxxxxx of squares xxx xxxxxxxxxxxxxxxxxxxxxx and xxxxxxxxxxxxxx diagonal xxxxx xxx A,C and xxx
line passing through A,C
slope of xxxx is xxxxxxxxxxxxxxx = -6/6 x xx
xxxxxx line xxxxxx xxxx x = -x + c
now (-3,3) lies on the xxxxx
hence,
3 x xxxxx x c
== > 3 x 3 + c == > c = x
xxxxxx line passing xxxxxxx A,C xx x = xx
xxxx xxxxxxx xxxxxxx xxx
xxxxx xx line xx (-3-3)/(-3-(3)) x xxxxx = x
xxxxxx line xxxxxx xxxx y x x x x
xxx (-3,-3) lies on the xxxxx
hence,
xx = xxxx + c
xx > -3 = xx + x xx > x = x
hence, line passing xxxxxxx xxx is y = x


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Answer
Submitted by geniusy_2006 on Tue, 2012-05-15 21:51
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Indicate the xxxxxxxx of xxx xxxxx xxxx in xxxxxxxx xxxxx

xxx xxxx containing the xxxxxxxx of a xxxxxx xxxxx vertices xxx A(-3, 3), xxxx 3), xxxx -3), xxx D(-3, -3). xxxx xxx xxxxxxxxxx xxx xxx xxxx diagonal.

Diagonals xxxx xx AC and xx

xxxxxxxx xxx AC A(-3, xxx C xxx -3)

xxxxx = xxxxxxxx x (-3-3) / x - xxxx = -6/6 x xx

xxxxxxxx xxxxxxx x x 3 = xxxx x xx
y - 3 x -x - x
y = xx x 3 + 3
y = -x
or x + y x 0

xxxxxxxx for xx xxxx 3), x (-3, -3)

xxxxx x Rise/Run x (-3-3) / -3 x x x -6/-6 x 1

Equation becomes y x x x 1(x x 3)
y x x = x - 3
x = x x x x 3
x x x
xx x x y x 0


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Answer
Submitted by Coloratus on Wed, 2012-05-16 15:24
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As we xxx xxx xxxx the xxxxxx first diagonal goes through xxxxxx xxxxx 3), C (3, xxxx xxx the formula xxxx will xxxx xx its equation is:

xxx xxxxxx xxxx through points xxxx 3), xxxxx xxx

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