Answer:
D (1, 2), (2, 4), (4,8)
Step-by-step explanation:
Points lying on the same line:
If three points lie on the same line, the change in y has to be always the same when x changes by 1.
А. (0, 1), (-1, 3), (1, 3)
(-1,3) to (0,1): x changes by 1, y by -2
(0,1) to (1,3): x changes by 1, y by 2
So these points are not on the same line.
B. (4, 2), (2, 1), (4, -2)
Two values for y when x = 4, so not on the same straight line.
C (0, 0), (8, 0), (0, 8)
Two values for y when x = 0, so not on the same straight line.
D (1, 2), (2, 4), (4,8)
Here, when x changed by 1(from 1 to 2), y changed by 2.
When x changed by 2(from 2 to 4), y changed by 2*2 = 4.
So these points are on a straight line, and D is the correct answer.
