The coordinates of the point that partitions AB in the ratio 3:7 is (2.4, -3.4)
How to determine the coordinates of the point that partitions AB in the ratio 3:7.?
The points are given as:
A = (-4, -7)
B = (12, 5)
The ratio is
m : n = 3 : 7
The coordinates of the point that partitions AB in the ratio 3:7 is calculated as:
(x, y) = 1/(m + n) * (mx2 + nx1, my2 + ny1)
This gives
(x, y) = 1/(3 + 7) * (3 * 12 + 3 * -4, 3 * 5 + 7 * -7)
This gives
(x, y) = 1/10) * (24, -34)
Evaluate
(x, y) = (2.4, -3.4)
Hence, the coordinates of the point that partitions AB in the ratio 3:7 is (2.4, -3.4)
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