# 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

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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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## A+ step by step explanations

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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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## Complete answer with full step-by-step instructions

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file1.docx preview (33 words)

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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