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The internal section formula gives the point dividing a segment in the ratio m : n as ((m·x₂ + n·x₁)/(m + n), (m·y₂ + n·y₁)/(m + n)). Note the weights are swapped relative to the points.
Section formula
P = ((m·x₂ + n·x₁)/(m + n), (m·y₂ + n·y₁)/(m + n))
((8 + 6)/4, (11 + 9)/4) = (3.5, 5), a quarter of the way along.
Because a point closer to the first point corresponds to a small m, so the first point must carry the larger weight n.