Directed line segment de has endpoints d(-4, -2) and e(1, 8). point f divides de such that df: fe is 2: 3. what are the coordinates of f?

(-2,2)

Step-by-step explanation:

The coordinates of the point P(x,y) which divides the line segment  joining M(a,b) and N (c,d) in ratio m:n is given by :-

Given : Line segment DE has endpoints D(-4, -2) and E(1, 8).

Let (x,y) be the coordinates of point F which divides line segment DE in ratio 2:3.

Then , the coordinates of the point F(x,y) will be :-

Hence, the coordinates of F = (-2,2)

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: