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Point E is located at (2, −3) and point F is located at (−2, −1). Find the y value for the point that is 3 over 4 the distance from point E to point F.


1.75


0.5


−2


−1.5

Verified Answer :

Correct answer is D.

Find the distance between the y-coordinates of points E and F.
E(2,-3),F(-2,-1)
\(y_1=-3,y_2=-1 \\ |y_1-y_2|=|-3-(-1)|=|-3+1|=|-2|=2\)

Calculate 3/4 of the distance between the y-coordinates of E and F.
\(\frac{3}{4} \times 2= \frac{3}{2} =1.5\)

We need to find distance from point E. That's why we add 1.5 to the y-coordinate of E.
\(y=-3+1.5=-1.5\)

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