Question

Find the paint of bisection of AB and of A (-4,-1) B (-6,-3)

Hint: point of bisection is the midpoint.

Answer 1

(- 5, - 2 )

Explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

M = (
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` ) ← midpoint formula

let (x₁, y₁ ) = A (- 4, - 1 ) and (x₂, y₂ ) = B (- 6, - 3 )

substitute these values into yje formula for M

M = (
`(-4+(-6))/(2)` ,
`(-1+(-3))/(2)` ) = (
`(-4-6)/(2)` ,
`(-1-3)/(2)` ) = (
`(-10)/(2)` ,
`(-4)/(2)` ) = ( - 5, - 2 )

The point of bisection is M = (- 5, - 2 )