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In cartesian coordinates (x, y) = (3, -4)

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Q: What are the coordinates if it is 4 units down and 3 units to the right?
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What are the coordinates of the point (12) after a translation right 9 units and up 3 units?

The coordinates are (10, 5).


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What are the coordinates of point R that lies along the directed segment from J ( 10 - 3 ) to K ( 1 - 3 ) and partitions the segment in the ratio of 2 to 7?

Using the distance formula the length of the line segment from (10, -3) to (1, -3) is 9 units which means that the line segment is partitioned by 2 units and 7 units. To find the coordinates of point R plot the above information on the Cartesian plane.