Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Show a

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Shtirlitz [24] · Answer 1 · 2023-07-10T10:19:47+03:00

The coordinate of point P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 is $(-\frac{22}3, \frac{23}6)$

<h3>How to determine the coordinates of P?</h3>

The given parameters are:

A = (-9,3)

B = (1, 8)

m : n = 1 : 5

The coordinate of point P is then calculated using:

$P = \frac{1}{m + n} (mx_2+nx_1,my_2+ny_1)$

Substitute known values

$P = \frac{1}{1 + 5} (1 * 1 + 5 * -9, 1 * 8 + 5 * 3)$

Evaluate

$P = \frac{1}{6} (-44, 23)$

Evaluate the product

$P = (-\frac{22}3, \frac{23}6)$

Hence, the coordinate of point P is $(-\frac{22}3, \frac{23}6)$

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