Question

Find the coordinates algebraically of the point on the line segment from (-3, -2) to L (4, 8) that partitions the segment into a ratio of 3 to 2.

A) (-1, 2)
B) (0, 3)
C) (1, 4)
D) (2, 5)

Answer 1

To find the coordinates of the point that partitions the line segment into a ratio of 3 to 2, we can use the formula x = ((3 * x2) + (2 * x1)) / 5 and y = ((3 * y2) + (2 * y1)) / 5. Substituting the given coordinates, we find that the coordinates of the point are approximately (2.8, 5.2).

Step-by-step explanation:

To find the coordinates of the point that partitions the line segment into a ratio of 3 to 2, we need to use the formula:

x = ((3 * x2) + (2 * x1)) / 5

y = ((3 * y2) + (2 * y1)) / 5

Substituting the given coordinates, we get:

x = ((3 * 4) + (2 * -3)) / 5 = 14 / 5 = 2.8

y = ((3 * 8) + (2 * -2)) / 5 = 26 / 5 = 5.2

Therefore, the coordinates of the point on the line segment are approximately (2.8, 5.2).