Final answer:
The point (3, 8) is the one that does not belong on the same line with the other points as it results in a different slope when paired with the adjacent point than the slopes calculated between the other points.
Step-by-step explanation:
To determine which point does not belong to the line containing the others, we need to check if each point lies on the same linear equation. Let's calculate the slope of the line between each pair of points (slope is Δy/Δx).
Slope between (1, 3) and (2, 5):
((5 - 3) / (2 - 1)) = 2/1 = 2
Slope between (2, 5) and (3, 8):
((8 - 5) / (3 - 2)) = 3/1 = 3
Slope between (3, 8) and (4, 9):
((9 - 8) / (4 - 3)) = 1/1 = 1
The slopes between consecutive points are not the same, which indicates that they do not lie on the same line. The first two points have a slope of 2 and the last two points have a slope of 1, which makes the point (3, 8) the outlier as it is part of the pair that gives a slope of 3, which does not match the other slopes.
The point (3, 8) does not belong to the line that contains the other points.