Point a is located at (5, 6) and point b is located at (8, −2) . what are the coordinates of the point that partitions the directed line segment ab¯¯¯¯¯ in a 1: 3 ratio?

Step-by-step explanation:

To find the coordinates of the point that partitions in a 1:3 ratio, we use:

Where is the ration of partitions, in this case.

Now, we replace all values:

So, the horizontal coordinate is 6.

The vertical coordinate is 3.33.

Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio is

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step-by-step explanation:

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