The coordinates of point B are B(x, y) = (12, 12).
In this problem we know that the coordinates of the two ends of the line segment and a given ratio. The location of point B, beyond points A and C, can be found by using the following vectorial formula:
B(x, y) = (4, 8) + 4 · [(6, 9) - (4, 8)]
B(x, y) = (4, 8) + 4 · (2, 1)
B(x, y) = (4, 8) + (8, 4)
B(x, y) = (12, 12)
The coordinates of point B are B(x, y) = (12, 12).
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