Answer:
P2 = (-7, -2)
Explanation:
The midpoint formula is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
- M are the coordinates of the midpoint,
- (x1, y1) is one endpoint of the line segment,
- and (x2, y2) is another endpoint.
Since we're already given the midpoint and one of the endpoints, we can find the coordinates of the other endpoint by using (-4, 1) for M and (-1, 4) for (x1, y1):
x-coordinate of P2:
To find the x-coordinate of P2 (aka x2 in the midpoint formula), we plug in -4 for M and -1 for x1:
(-4 = (-1 + x2) / 2) * 2
(-8 = -1 + x2) + 1
-7 = x2
Thus, the x-coordinate of P2 is -7.
y-coordinate of P2:
To find the y-coordinate of P2 (aka y2 in the midpoint formula), we plug in 1 for M and 4 for x1:
(1 = (4 + y2) / 2) * 2
(2 = 4 + y2) - 4
-2 = y2
Thus, the y-coordinate of P2 is -2.
Therefore, the coordinates of P2 are (-7, -2)