Question

What are the coordinates of the point on the directed line segment from (- 10, - 10) to (6, - 2) that partitions the segment into a ratio of 3 to 5

Answer 1

The coordinates of the point that partitions the segment into a ratio of 3 to 5 are (2, -6).

Step-by-step explanation:

To find the coordinates of the point that partitions the segment into a ratio of 3 to 5, we can use the formula:

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

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

Plugging in the coordinates (-10, -10) for (x1, y1) and (6, -2) for (x2, y2), we get:

x = ((5 * -10) + (3 * 6)) / (3 + 5) = 2

y = ((5 * -10) + (3 * -2)) / (3 + 5) = -6

Therefore, the coordinates of the point that partitions the segment into a ratio of 3 to 5 are (2, -6).