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# Lesson Worksheet: Partitioning a Line Segment on the Coordinate Plane Mathematics

In this worksheet, we will practice finding the coordinates of a point that divides a line segment on the coordinate plane with a ratio using the section formula.

**Q5: **

A quadrilateral has its vertices at the points , , , and . A point lies on such that the lengths of and are in the ratio of , and a point lies on such that the lengths of and are in the ratio of .

Find the coordinates of .

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Find the coordinates of .

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Find the slope of the line .

Find the equation of the line , giving your answer in the form .

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**Q10: **

Fill in the blank: Given that and , the divides in the ratio .

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