Answer:
Explanation:
Points given:
- M(3, -4) - midpoint
- A(8, -5) - endpoint
- B(x, y) - endpoint
Use midpoint formula to find the coordinates of B:
- x = (x1 + x2)/2, y = (y1+ y2)/2
Substitute known values and solve for x and y:
- 3 = (8 + x)/2 ⇒ 6 = 8 + x ⇒ x = 6 - 8 ⇒ x = -2
- -4 = (-5 + y)/2 ⇒ -8 = -5 + y ⇒ y = -8 + 5 ⇒ y = -3
Point B is: