6. a) The mid point of a line segment is (1,-1) whose one end is (-1, -3). Find the other end.

Step-by-step explanation:

mid point = [(a1 + a2)/2 , (b1 + b2)]

(a1,b1) = first point

(a2,b2) = end point

Using all x coordinates

(a1 + a2)/2 = 1

(-1 + a2)/2 = 1

-1 + a2 = 2

a2 = 3

Using all y coordinates

(b1 + b2)/2 = -1

(-3 + b2)/2 = -1

-3 + b2 = -2

b2 = -1

thus end coordinate = (3, -1)

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