Question

What is the midpoint of AB?

Answer 1

`(-4, -(1)/(2))`

Explanation:

Hi there!

We are given the line segment, with the end points AB

The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).

We want to find the midpoint of the line segment AB

The midpoint formula is given as
`((x_1+ x_2)/(2), (y_1 + y_2)/(2))`, where
`(x_1, y_1)` and
`(x_2, y_2)` are coordinates

We have two coordinates, which is what we need, but let's label their values to avoid any confusion:

`x_1=-5\\y_1=-4\\x_2=-3\\y_2=3`

Now substitute those values into the formula:

`((x_1+ x_2)/(2), (y_1 + y_2)/(2))`

`((-5+ -3)/(2), (-4+ 3)/(2))`

Now simplify the numerator and denominator

`((-8)/(2), (-1)/(2))`

Simplify again:

The midpoint is (-4,
`-(1)/(2)`)

Hope this helps!