Question

Segment AB with endpoints at A(2, 4) and B(2, 18) is partitioned by point P according to the ratio of 3:4. Find the coordinate of point P. (1 point)
(2, 10)
(2, 12)
(2, 13)
(2, 14)

Answer 1

Using proportions, it is found that the coordinates of point P are given as follows: (2,10).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The segment is partitioned by point P according to the ratio of 3:4, hence:

$P - A = \frac{3}{7}(B - A)$

This proportion is applied for both coordinates, hence, for the x-coordinate:

$x - 2 = \frac{3}{7}(2 - 2)$

x - 2 = 0

x = 2.

For the y-coordinate:

$y - 4 = \frac{3}{7}(18 - 4)$

y - 4 = 6

y = 10.

Hence the coordinates are (2,10).

More can be learned about proportions at https://brainly.com/question/24372153

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