Question

what are the cordinates of the point on the directed line segment from (-5,-8) to (5,4) that partitions the segment into a ratio of 3 to 1

Answer 1

The coordinates of the point on the directed line segment from (-5,-8) to (5,4) that partitions the segment into a ratio of 3 to 1 are (-2.5, -5).

Step-by-step explanation:

The coordinates of the point on the directed line segment from (-5,-8) to (5,4) that partitions the segment into a ratio of 3 to 1 can be found using the formula:

x = (3 * x1 + x2) / 4

y = (3 * y1 + y2) / 4

Substituting the given coordinates, we get:

x = (3 * -5 + 5) / 4 = -2.5

y = (3 * -8 + 4) / 4 = -5

Therefore, the coordinates of the point are (-2.5, -5).