given df with D(-1,11) and F(-9,-5) if E partitions DF such that the ratio of DE to DF is 5:8 find the coordinates of E

(-6, 1)

Step-by-step explanation:

Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.

Difference in x from D to F:

-9 - (-1) = -8

5/8 * (-8) = -5

Difference in y from D to F:

-5 - 11 = -16

5/8 * (-16) = -10

x: -1 - 5 = -6

y: 11 - 10 = 1

(-6, 1)

(-4.08, 4.85)

Step-by-step explanation:

-1 to -9 = 8 * 5/13 = 3.08

-1 - 3.08 = -4.08

11 to -5 = 16 * 5/13 = 6.15

11 - 6.15 = 4.85