Question

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

Answer 1

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.

`(3)/(4) * 2= (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`