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2 years ago

PQ has a midpoint of M. the coordinates of M are (-4, 7) and the coordinates of P are (2, 13). What are the coordinates of Q?

Mathematics

1 answer:

Natali5045456 [20]2 years ago

3 0

Using the midpoint formula, the coordinates of Q are: A. (-10, 1)

<h3>What is the Midpoint Formula?</h3>

Midpoint formula is given as, $M(x, y) = (\frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2})$

Thus, given that:

M is the midpoint of PQ.
M (-4, 7)
P (2, 13).

Therefore:

$M(-4, 7) = (\frac{2 + x_1}{2} , \frac{13 + y_1}{2})$

Solve for x-coordinate of P:

-4 = 1/2(2 + x1)

2(-4) = 2 + x1

-8 = 2 + x1

-8 - 2 = x1

x1 = -10

Solve for y-coordinate of P:

7 = 1/2(13 + y1)

14 = 13 + y1

y1 = 1

Therefore, using the midpoint formula, the coordinates of Q are: A. (-10, 1)

Learn more about the midpoint formula on:

brainly.com/question/88621

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