Question

19. What are the coordinates of the midpoint

of the segment with endpoints at (-3, 9) and
(10, 18)?

Answer 1

`\large\boxed{\left((7)/(2),\ (27)/(2)\right)}`

Explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

`M_(AB)\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)`

We have the points (-3, 9) and (10, 18).

Substitute:

`M(x,\ y)\\\\x=(-3+10)/(2)=(7)/(2)\\\\y=(9+18)/(2)=(27)/(2)`