Question

AB has endpoints A(3,6) and B(9, -2) and midpoint M. What is AM?

Answer 1

First find M:

\(M = \left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)\)

Answer 2

M= (6,2) right?

Answer 3

In this case
\((x_1,y_1) = (3,6)\)
\((x_2, y_2) = (9,-2)\)

Answer 4

To find the length of \(\overline{AM}\), use the distance formula:

\(AM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Answer 5

In this case
\((x_1, y_1) = (3,6)\)
\((x_2, y_2) = (6,2)\)

Answer 6

does it equal 5?

Answer 7

Correct

Answer 8

thank you

Answer 9

yw