Please help The coordinates of the endpoints of directed line segment DEF are D(−3,8) and F(5,2). If DE : EF = 4:1, find the exact coordinates of point E.

is the correct answer.

Step-by-step explanation:

We are given that co-ordinates of D is (-3,8) and F is (5,2).

For finding a point E on the line segment DF dividing it in a ratio 4:1, we can use segment formula.

Where is the co-ordinate of the point which  

divides the line segment joining the points and in the ratio m:n.

As per the given values  

Putting the given values in above formula :

x-co-ordinate of F:

y-co-ordinate of F:

So, answer is .

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step-by-step explanation: