In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).?

WHAT diagram?

A = (−3,9)
B = (9, 5)

Line from A to B has parametric equation:
x = −3 + 12t
y = 9 − 4t
0 ≤ t ≤ 1

Point A ----> t = 0
Point B ----> t = 1

C is 1/8 of the way from A to B
C = (−3+12/8, 9−4/8) = (−1.5, 8.5)

E is 3/8 of the way from A to B
E = (−3+12*3/8, 9−4*3/8) = (1.5, 7.5)

H is 3/4 of the way from A to B
H = (−3+12*3/4, 9−4*3/4) = (6, 6)

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Alternate method:

A = (−3,9)
B = (9, 5)

F is midpoint of AB
F = ((−3+9)/2, (9+5)/2) = (3, 7)

D is midpoint of AF
D = ((−3+3)/2, (9+7)/2) = (0, 8)

C is midpoint of AD
C = ((−3+0)/2, (9+8)/2) = (−1.5, 8.5)

E is midpoint of DF
E = ((0+3)/2, (8+7)/2) = (1.5, 7.5)

H is midpoint of FB
H = ((3+9)/2, (7+5)/2) = (6, 6)

Please select the appropriate answer:
|AC|:|CB| = 1:7, so C = (7(-3, 9)+1(9, 5))/(7+1) = (-1.5, 8.5) which is answer ___
|AE|:|EB| = 3:5, so E = (5(-3, 9)+3(9, 5))/(5+3) = (1.5, 7.5) which is answer ___
|AH|:|HB| = 6:2 which is 3:1, so H = (1(-3, 9)+3(9, 5))/(1+3) = (6, 6) which is answer ___

Diagram is nowhere to be found.

run of AB = 9-(-3) = 12
rise of AB = 5-9 = -4

AB is divided into 8 equal segments
incremental run = 12/8 = 1.5
incremental rise = -4/8 = -0.5
C = (-3+1.5, 9-0.5) = (-1.5,8.5)
D = (-1.5+1.5, 8.5-0.5) = (0,8)
etc