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1 answer:
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9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.
A + C = (-3, 6) +(9, -9) = (6, -3)
B + D = (6, 0) +(0, -3) = (6, -3)
Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.
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The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).
Given equation is
If we substitute x = 0, then, y = - 4.
So, (0, -4) is a point on the line.
If we substitute x = - 6, then y = 5 - 4 = 1.
So, (-6, 1) is another point on the line.
Joining (0, -4) and (-6, 1), we get the graph of the line.
