Question

What is the midpoint of the segment shown​

Answer 1

B

Explanation:

Using the midpoint formula

given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[
`(1)/(2)`(x₁ + x₂),
`(1)/(2)`(y₁ + y₂ ) ]

let (x₁, y₁ ) = (- 6, - 2) and (x₂, y₂ ) = (- 1, 5)

midpoint = [
`(1)/(2)`(- 6 - 1),
`(1)/(2)`(- 2 + 5)]

= (-
`(7)/(2)`,
`(3)/(2)` ) → B

Answer 2

B) (-⁷/₂, ³/₂)

Explanation:

Midpoint equation: ( (x₁ + x₂)/2, (y₁ + y₂)/2 ), when the two points are (x₁, y₁) and (x₂, y₂).

Plug in: ( ⁽⁻⁶ ⁺ ⁻¹⁾/₂, ⁽⁻² ⁺ ⁵⁾/₂ )

Add: (-⁷/₂, ³/₂)