Final answer:
To find the missing endpoint, we can use the midpoint formula, which states that the coordinates of the midpoint can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the missing endpoint has coordinates M(-7/2, 9/2).
Step-by-step explanation:
To find the coordinates of the missing endpoint, we can use the midpoint formula. The midpoint formula states that if we have two points A(x1, y1) and B(x2, y2), the coordinates of the midpoint M can be found by taking the average of the x-coordinates and the average of the y-coordinates.
In this case, we have the midpoint C(-5, 4) and one endpoint B(-2, 5). To find the missing endpoint, we can use the midpoint formula:
x-coordinate of M = (x-coordinate of A + x-coordinate of B) / 2
y-coordinate of M = (y-coordinate of A + y-coordinate of B) / 2
Substituting in the values, we get:
x-coordinate of M = (-5 + (-2)) / 2 = -7 / 2
y-coordinate of M = (4 + 5) / 2 = 9 / 2
Therefore, the coordinates of the missing endpoint are M(-7/2, 9/2).