SOLUTION: Indicate the equation of the given line in standard form. The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2), B(-2, -2), C(1, -1), and D(6, 4

Algebra ->  Points-lines-and-rays -> SOLUTION: Indicate the equation of the given line in standard form. The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2), B(-2, -2), C(1, -1), and D(6, 4      Log On


   

Question 1083688: Indicate the equation of the given line in standard form.
The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2), B(-2, -2), C(1, -1), and D(6, 4).


Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal from B to D; from (-2,-2) to (6,4).

slope %284-%28-2%29%29%2F%286-%28-2%29%29=6%2F8=3%2F4
y%2B2=%283%2F4%29%28x%2B2%29
4y%2B8=3x%2B6
4y-3x=6-8
4y-3x=-2
highlight%283x-4y=2%29
or
y=%283%2F4%29x-1%2F2


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NOTE: plotting the points helps. You can easily identify the sides and the diagonals.