Question

TU has a midpoint at M(-7, -9.5). Point T is at (-19, -18). Find the coordinates of point U.

Write the coordinates as decimals or integers.
U=(

Answer 1

To find the coordinates of point U given the midpoint and another endpoint, we can use the midpoint formula.

Step-by-step explanation:

To find the coordinates of point U, 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.

Given that the midpoint is M(-7, -9.5) and one endpoint is T(-19, -18), we can use the formula:

(x-coordinate of U) = (x-coordinate of M) + (x-coordinate of T) / 2

(y-coordinate of U) = (y-coordinate of M) + (y-coordinate of T) / 2

Substituting the values, we have:

(x-coordinate of U) = -7 + (-19) / 2 = -13

(y-coordinate of U) = -9.5 + (-18) / 2 = -13.75

Therefore, the coordinates of point U are (-13, -13.75).

Learn more about Coordinates