Question

What is the midpoint of the line segment graphed below?
(6,-8)
(1, -1)

Answer 1

The midpoint is
`((7)/(2), -(9)/(2))`

Explanation:

The formula for finding the midpoint of a line is
`((x_(1) +x_(2) )/(2), (y_(1)+ y_(2) )/(2) )`

This means the formula for the x-coordinate of the midpoint is
`(x_(1) +x_(2) )/(2)`, and the formula for the y-coordinate of the midpoint is
`(y_(1)+y_(2) )/(2)`.

First, let's find the x-coordinate of the midpoint:

Add the two x values of the coordinates given, then divide that by two.

`(x_(1) + x_(2) )/(2) = (6+1)/(2) =(7)/(2)`

Next, let's find the y-coordinate of the midpoint:

Add the two y values of the coordinates given, then divide that by two.

`(y_(1) +y_(2) )/(2) = ((-8) +(-1))/(2) = - (9)/(2)`

Therefore, the midpoint of the line segment is
`((7)/(2), -(9)/(2))`. Hope this helps!