Midpoint: (1,3)
To find the midpoint of a line segment given its endpoints, you can use the midpoint formula. The formula for finding the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using this formula, we can find the midpoint of the line segment with endpoints (8, -3) and (-6, 9):
x₁ = 8
y₁ = -3
x₂ = -6
y₂ = 9
Midpoint = ((8 + (-6)) / 2, (-3 + 9) / 2)
= (2 / 2, 6 / 2)
= (1, 3)
Therefore, the midpoint of the line segment with endpoints (8, -3) and (-6, 9) is (1, 3).