Question

What is the center of MN given M(3, -1) and N(7,-5)

Answer 1

Answer:

(5, -3)

Step-by-step explanation:

So the center of the two points, or a line can be defined using the equation: $midpoint=(\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})$. So using the two points you gave, you simply plug the values in to get

$midpoint=(\frac{3+7}{2}, \frac{-1+(-5)}{2})$

Add numerators:

$midpoint=(\frac{10}{2}, \frac{-6}{2})$

Simplify fraction:

$midpoint=(5, -3)$