Question

Point P is a midpoint of segment XY. The coordinates of X are (1,-3). Midpoint P is at (-1,1). Find the coordinates of Y.

Answer 1

The coordinates of point Y are (1, -3).

Step-by-step explanation:

To find the coordinates of point Y, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints. In this case, the x-coordinate of P is -1, which is the average of the x-coordinate of X (1) and Y (let's call it y). The y-coordinate of P is 1, which is the average of the y-coordinate of X (-3) and Y (y). Using this information, we can set up the following equation: -1 = (1 + y) / 2 and solve for y.

-1 = (1 + y) / 2
-2 = 1 + y
y = -3

Therefore, the coordinates of point Y are (1, -3).