Question

Find the midpoint of the segment between the points (1,1) and (4,−16)

Answer 1

(2.5, -7.5).

Explanation:

To find the midpoint of a segment between two points (x₁, y₁) and (x₂, y₂), you can use the midpoint formula:

Midpoint (M) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Given the points (1, 1) and (4, -16):

x₁ = 1, y₁ = 1

x₂ = 4, y₂ = -16

Now, plug the values into the midpoint formula:

Midpoint (M) = ((1 + 4) / 2, (1 - 16) / 2)

Calculate the x-coordinate and y-coordinate of the midpoint:

Midpoint (M) = (5 / 2, -15 / 2)

Simplify the fractions:

Midpoint (M) = (2.5, -7.5)

So, the midpoint of the segment between the points (1, 1) and (4, -16) is (2.5, -7.5).