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Question
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 are xxxxxxxxxxxxxxxxxxxxxx and xxxxxxxxxxxxxx diagonal xxxxx xxx xxx xxx B,D

xxxx xxxxxxx xxxxxxx A,C

xxxxx of line is xxxxxxxxxxxxxxx x xxxx x -1

hence, line looked xxxx y x -x + x

xxx (-3,3) xxxx on xxx line,

xxxxxx

x = xxxxx + c

xx > 3 = 3 + c xx > c x 0

xxxxxx xxxx passing xxxxxxx xxx is x = xx

line passing xxxxxxx B,D

xxxxx xx line xx (-3-3)/(-3-(3)) x xxxxx = x

hence, xxxx xxxxxx like x x x + x

now (-3,-3) lies xx the line,

xxxxxx

-3 = xxxx x x

== > xx x xx + x xx > c = x

hence, xxxx passing xxxxxxx A,C is y x x


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Answer
Submitted by geniusy_2006 on Tue, 2012-05-15 21:51
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xxxxxxxx the equation xx xxx xxxxx line in xxxxxxxx form.

xxx line xxxxxxxxxx the xxxxxxxx of a xxxxxx whose vertices xxx xxxxx xxx B(3, 3), C(3, xxxx and D(-3, xxxx xxxx two equations, one xxx xxxx xxxxxxxxx

xxxxxxxxx xxxx xx AC xxx xx

xxxxxxxx xxx xx A(-3, 3), x (3, xxx

slope x Rise/Run x xxxxxx / x x xxxx x xxxx x xx

xxxxxxxx becomes x - 3 = xxxx + 3)

x - x x -x - x

y x -x - 3 + x

x x xx

xx x + y x 0

xxxxxxxx for BD B(3, xxx D xxxx xxx

slope x xxxxxxxx = (-3-3) x xx x x x xxxxx x x

xxxxxxxx xxxxxxx x - 3 = xxx - xx

x - 3 = x x 3

x = x x x x x

y = x

or x - x x 0


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Answer
Submitted by Coloratus on Wed, 2012-05-16 15:24
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xx we can xxx xxxx the graph, xxxxx xxxxxxxx goes xxxxxxx xxxxxx xxxxx 3), C (3, xxxx xxx the xxxxxxx that will give xx xxx equation is:

The second goes through xxxxxx xxxx xxx D(-3, -3)

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