The coordinate of the point on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)
The given parameters are:
A = (-1,6)
B = (8,8)
Ratio, m : n = 4 : 3
The coordinate at the partition is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]
Evaluate
[tex](x,y) = \frac{1}{7} * (29,50)[/tex]
Evaluate the product
(x,y) = (29/7,50/7)
Hence, the coordinate of the point is (29/7,50/7)
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