point M is the midpoint of PQ. the coordinates of point M are (2, 4). the coordinates of point Q are (12, 10)
what are the coordinates of point P
To find the coordinates of point P, we can use the formula for finding the midpoint of a line segment:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that the coordinates of point M are (2, 4) and the coordinates of point Q are (12, 10), we can substitute these values into the formula and solve for the coordinates of point P:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
(2, 4) = ((x1 + 12) / 2, (y1 + 10) / 2)
Solving for x1:
x1 + 12 = 2 * 2
x1 + 12 = 4
x1 = 4 - 12
x1 = -8
Solving for y1:
y1 + 10 = 2 * 4
y1 + 10 = 8
y1 = 8 - 10
y1 = -2
Therefore, the coordinates of point P are (-8, -2).