Point E is located at (−4, 5) and point F is located at (7, 2)
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What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 6:4 ratio?
Enter your answer, as decimals, in the boxes.
new x coordinate = -4 + 6 * (7 + 4) / (6 + 4) = -4 + 6 * 11/10 = -4 + 66/10 = -4 + 6.6 = 2.6
new y coordinate = 5 - 6 * (5 - 2) / (6 + 4) = 5 - 6 * 3/10 = 5 - 18/10 = 5 - 1.8 = 3.2
(2.6, 3.2)