Question

What is the midpoint of AB?

Answer 1

Answer:

$(-4, -\frac{1}{2})$

Step-by-step 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 $(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$, 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:

$(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$

$(\frac{-5+ -3}{2}, \frac{-4+ 3}{2})$

Now simplify the numerator and denominator

$(\frac{-8}{2}, \frac{-1}{2})$

Simplify again:

The midpoint is (-4, $-\frac{1}{2}$)

Hope this helps!