Question

What is the midpoint of ab with endpoints A(3,2) and B (8,14

Answer 1

(
`(11)/(2)`, 8)

Explanation:

Find the midpoint using the midpoint formula

midpoint = [
`(1)/(2)`(3 + 8),
`(1)/(2)`(2 + 14)] = (
`(11)/(2)`, 8)

Answer 2

Answer: (5.5, 8)

Explanation:

We know that midpoint (x,y) of a line XY having points having points
`(x_1,y_1)` and
`(x_2,y_2)` is given by :-

`x=(x_1+x_2)/(2)\ ;\ y=(y_1+y_2)/(2)`

Then similarly, the midpoint of AB with endpoints A(3,2) and B (8,14) will be :_

`x=(3+8)/(2)\ ;\ y=(2+14)/(2)\\\\\Rightarrow\ x=(11)/(2)\ ;\ y=(16)/(2)\\\\\Rightarrow\ x=5.5\ ;\ y=8`

Hence, the midpoint of AB with endpoints A(3,2) and B (8,14) = (5.5, 8)