Question

PLEASE HELP FAST! in the coordinate plane shown,point C(not shown) lies on segment AB, if the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y coordinate of point C?

Answer 1

I believe the answer is 8

Answer 2

The y-coordinate of point C is 8.5

How to determine the y-coordinate of C?

The points are given as;

A = (2,4)

B = (10,10)

Ratio, m : n = 3 : 1

The y-coordinate of C is calculated using:

$Cy = \frac{1}{m + n} * (my_2 + ny_1)$

This gives

$Cy = \frac{1}{3 + 1} * (3 * 10 + 1 * 4)$

Evaluate

$Cy = 8.5$

Hence, the y-coordinate of point C is 8.5

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