Find the coordinates of p so that p partitions the segment ab in the ratio 1: 1 if a(13,1)a(13,1) and b(−5,−3)b(−5,−3)

By partitioning the segment into a ratio of 1:1 means to equally divide that segment into 2.

We can calculate for the coordinates of point P by taking the average of the difference of point A and point B.

x axis of point P = (13 + 5) / 2

x axis of point P = 18 / 2

x axis of point P = 9

y axis of point P = (1 + 3) / 2

y axis of point P = 4 / 2

y axis of point P = 2

Therefore the coordinates of point P is (9, 2).

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