Question

What is the midpoint of line segment AB?

Answer 1

(3, 5.5)

Explanation:

We are given a line segment AB and the coordinates of two points: A(-1, 8) and B(7, 3) and we are to find the mid-point of line segment AB.

We know that,

mid-point =
`((x_1+x_2)/(2) , (y_1+y_2)/(2) )`

so putting in the values of the given coordinates to get:

Mid-point of AB =
`((-1+7)/(2) ,(8+3)/(2) )`

`=((6)/(2) ,(11)/(2) )`

`=(3, 5.5)`

Therefore, the mid point the line segment AB is (3, 5.5).

Answer 2

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

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

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = (
`(-1 + 7)/(2) , (8 + 3)/(2)`

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.