What is the answer to this question?
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Answer:
(2.5, -7)
Step-by-step explanation:
Given:
Two end points of a line segment are given as:
(-8, -10) and (6, -6)
The ratio of partition is 3 : 1.
Let the line segment be AB with A(-8, -10) and B(6, -6). Let point P(x,y) divide the line segment AB in the ratio 3 : 1.
In order to find the point P, we use section formula which is given as:
Where, are end points of line segment AB divided in the ratio m : n by the point
.
Now, plug in the given values and solve for the coordinates of P. This gives,
Therefore, the coordinates of the point on the directed line segment from (-8, -10) to (6,−6) that partitions the segment into a ratio of 3 to 1 is (2.5, -7).