What is the midpoint of AB¯¯¯¯¯¯¯¯?

Mathematics

1 answer:

LenKa [72]3 years ago

3 0

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

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I hope this helps you