The coordinates of the midpoint of line AB are (-6, 3).
To find the coordinates of the midpoint of line AB, you can use the midpoint formula, which is as follows:
Midpoint (M) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
In this formula:
- (x₁, y₁) are the coordinates of point A.
- (x₂, y₂) are the coordinates of point B.
Let's calculate the midpoint step by step:
Given coordinates:
Point A: (-13, -9)
Point B: (1, 15)
Step 1: Calculate the x-coordinate of the midpoint (Mx):
Mx = (x₁ + x₂) / 2
Mx = (-13 + 1) / 2
Mx = (-12) / 2
Mx = -6
Step 2: Calculate the y-coordinate of the midpoint (My):
My = (y₁ + y₂) / 2
My = (-9 + 15) / 2
My = 6 / 2
My = 3
So, the coordinates of the midpoint of line AB are (-6, 3).