Answer:
- The other endpoint has coordinates (5, 4)
Step-by-step explanation:
Each coordinate of the midpoint is the average of respective endpoints.
If (a, b) and (c, d) are endpoints, then midpoint (m, n) is:
- m = (a + c)/2 and n = (b + d)/2
Substitute the known coordinates and find the missing endpoint (x, y):
- (- 3 + x)/2 = 1 ⇒ - 3 + x = 2 ⇒ x = 3 + 2 ⇒ x = 5
- (- 8 + y)/2 = - 2 ⇒ - 8 + y = - 4 ⇒ y = 8 - 4 ⇒ y = 4
The other endpoint is (5, 4).
