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. (5 points)

−2.5
−4.5
−3.5
−1.5

Answer 1

Any thoughts?

Answer 2

E (2, -3)

F (-2, -1)

the y distance is from -3 to -1

which is a difference of 2

2(3/4) = 1 1/2 or 1.5

-3 + 3/2 ?

Answer 3

3/4 the distance from point e to point f means that the point divides the line ef in the ratio 3:1
x = (3(-2) + 1(2))/(3 + 1) = (-6 + 2)/4 = -4/4 = -1
y = (3(-1) + 1(-3))/(3 + 1) = (-3 - 3)/4 = -6/4 = -1.5
required point = (-1, -1.5)