Question

What is the midpoint of AB¯¯¯¯¯¯¯¯?

Answer 1

Answer:

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

Step-by-step explanation:

The midpoint between two points can be calculated by $(\frac{x_1 +x_2}{2}, \frac{y_1 +y_2}{2})$ where $x_n$ and $y_n$ is the $xy$-coordinates of point $n$.

In your case we have two endpoints: $A(-5,-4)$ and $B(-3,3)$. So the midpoint can be calculated as:

$(\frac{x_A +x_B}{2}, \frac{y_A +y_B}{2}) \\ (\frac{-5 +(-3)}{2}, \frac{-4 +3}{2}) \\ (\frac{-5 -3}{2},\frac{-4 +3}{2}) \\ (\frac{-8}{2},\frac{-1}{2}) \\ (-4,-\frac{1}{2})$

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