Question

On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.

Which expression correctly used the formula, to find the location of point R?

Answer 1

14/5 or A

Explanation:

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Answer 2

Explanation:

The distance from Q to S is 2 - (-14), or 16.

We start at point Q. Note how 3 and 5 add up to 8, which allows us to write:

R = Q + (3/8)(16), or R = -14 + 6, or R = -8.

From R to S it is (5/8)(16), or 10 units.

The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.