Answer:

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:

<em>So, the horizontal coordinate is 6.</em>

<em>The vertical coordinate is 3.33.</em>
<em />
Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio is 