Question

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Points O, C, and P are collinear with O(−10, −8) and P(−2,8). Point C divides the line segment OP into the ratio 3: 5. What are the coordinates of point C?

Answer 1

Using proportions, it is found that the coordinates of point C are given as follows: C(-7, -2).

What is a proportion?

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

Point C divides the line segment OP into the ratio 3:5, hence the following equation is used to relate the points:

$C - O = \frac{3}{8}(P - O)$

Then, for the x-coordinate:

$x + 10 = \frac{3}{8}(-2 + 10)$

x + 10 = 3

x = -7

For the y-coordinate:

$y + 8 = \frac{3}{8}(8 + 8)$

y + 8 = 6

y = -2

The coordinates of point C are given as follows: C(-7, -2).

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

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