Find a point K on the segment with endpoints F(-8, 10) and G(8, -2) that partitions the segment, starting at point F 3/4 of the way to point G

Given:

The endpoints of a line segment are F(-8, 10) and G(8, -2).

Point K partitions the segment, starting at point F of the way to point G.

To find:

The coordinates of point K.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are

According to the given information,

Now,

It means point K divides the segment in 3:1.

Using the section formula, we get

Therefore, the coordinates of the point K are (4,1).

step-by-step explanation:

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step-by-step explanation:

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