The new coordinates are
(3 + the old 'x', 2 + the old 'y')
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In cartesian coordinates (x, y) = (3, -4)
The new coordinates are (3, -5).
(2,1)
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.
(0,0) = the origin