The endpoints of DEF are D(1, 4) and F(16, 14). Determine and state the coordinates of point E, if
DE: EF = 2:3.

The coordinates of point E are (7,8).

Step-by-step explanation:

Point E:

Is given by (x,y).

DE: EF = 2:3.

This means that, for both coordinates x and y:

x-coordinate:

x-coordinate of D: 1

x-coordinate of F: 16

y-coordiante:

y-coordinate of D: 4

y-coordinate of F: 14

The coordinates of point E are (7,8).

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