Point M is the midpoint of PQ. The coordinates of P and M are given below.

Mathematics

1 answer:

Zepler [3.9K]2 years ago

7 0

The coordinates of Q are (-1,6)

Further Explanation:

Given points are:

$(x_m, y_m) = (5, -2)\\(x_p,y_p) = (11, -10)$

The formula for mid-pint is:

$(x_m, y_m) = (\frac{x_p+x_q}{2} , \frac{y_p+y_q}{2})\\From\ this\ we\ get\\x_m = \frac{x_p+x_q}{2}\\Putting\ values\\5 =\frac{11+x_q}{2}\\5*2 = 11+x_q\\10 = 11+x_q\\10-11 = x_q\\x_q = -1\\AND\\y_m = \frac{y_p+y_q}{2}\\-2 = \frac{-10+y_q}{2}\\-2*2 = -10+y_q\\-4 = -10+y_q\\-4+10 = y_q\\y_q = 6$

The coordinates of Q are (-1,6)

Keywords: Coordinate geometry, mid-point

Learn more about mid-point at:

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