Question

Plot a third point C on the graph dividing AB in a ratio of 3:4 so that BC is shorter than AB.

Answer 1

• Coordinates of point A: (x1, y1)

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• Coordinates of point B: (x2, y2)

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• Ratio 3:4, means that the partition ratio is c = 3/(3+4) = 3/7

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• The rise is computed as follows: y2 - y1

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• The run is computed as follows: x2 - x1

Then, the coordinates of C are: x1 + c*run, y1 + c*rise, or:

`(x_1+(3)/(7)\cdot(x_2-x_1),y_1+(3)/(7)\cdot(y_2-y_1))`