Question

Find the midpoint of the line segment with the given endpoints. (8,-3), (-6,9)

Answer 1

`\bold{ANSWER:}`
Midpoint: (1,3)


`\bold{SOLUTION:}`

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).