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Find the coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts.

Solution:

Make a figure, line dividing by 4 points.

The points X, Y, and Z divide the line segment in the ratios 1:3, 1:1, and 3:1, respectively, as shown in the diagram.

Coordinates of X

Coordinates of Y

Coordinates of Z