The coordinates of the point on the directed line segment from (−3,4) to (3,8) partitions the segment into a ratio of 1 to 3 is given as follows:
(-1.5, 1).
How to obtain the coordinates of the point?
The coordinates of the point are applied using proportions, as the fact that the point partitions the segment into a ratio of 1 to 3 means that the following equation is built:
Point - Initial Coordinate = 1/4(Final Coordinate - Initial Coordinate).
This equation is used to find both the x-coordinate and the y-coordinate of the point.
The x-coordinate of the point is obtained as follows:
x + 3 = 1/4(3 + 3)
x + 3 = 1.5
x = -1.5.
The y-coordinate of the point is obtained as follows:
y - 4 = 1/4(-8 - 4)
y - 4 = -3
y = 1.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
