Answer:
Explanation:
Points given:
- M(-5, -2) - midpoint
- A(-3, 4) - 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:
- -5 = (-3 + x)/2 ⇒ -10 = -3 + x ⇒ x = -10 + 3 ⇒ x = -7
- -2 = (4 + y)/2 ⇒ -4 = 4 + y ⇒ y = -4 - 4 ⇒ y = -8
Point B is: