Question

The point P has coordinates (-2,6).The point M has coordinates (5,6)

M is the midpoint of P Q .Find the coordinates the point Q

Answer 1

By applying the midpoint formula, we find that the coordinates of point Q are (12,6) where M is the midpoint of PQ and M has the coordinates (5,6), and P has the coordinates (-2,6).

Step-by-step explanation:

To find the coordinates of point Q when M is the midpoint of PQ and M has the coordinates (5,6), and P has the coordinates (-2,6), we need to use the midpoint formula.

The midpoint formula states that the midpoint M can be found using the following equations:

Since we know the coordinates of M (5,6) and P (-2,6), we can solve for Qx and Qy by plugging these values into the midpoint formula equations:

Mx = (Px + Qx) / 2 becomes 5 = (-2 + Qx) / 2

Therefore, Qx = 5 × 2 + 2 = 12

My = (Py + Qy) / 2 becomes 6 = (6 + Qy) / 2

Therefore, Qy = 6 × 2 - 6 = 6

So, the coordinates of point Q are (12,6).

Answer 2

Find the gradient/slope
6-6/5-(-2) deltaY/deltaX
=0 shows its a straight line
Delta X = 7
Distance between P & M = 7 units
If M is the midpoint then Q is 7*2 units
Away from P (14 units away)
-2 + 14 units = 12 x-coordinate
Hence the coordinates of Q
= (12,6)

FINAL ANSWER:
Coordinates of Q (12,6)