Question

M(9,8) is the midpoint of rs. the coordinates of s are (10, 10). what are the coordinates of r?

Answer 1

Midpoint formula:
`(m_x, m_y) = ((x_1+x_2)/(2), (y_1+y_2)/(2))`

Substitute in your given midpoint and point s to solve for r:

`(9,8)=((10+x_r)/(2), (10+y_r)/(2))`


`9=(10+x_r)/(2)`

`18 = 10+x_r`

`x_r = 8`


`8=(10+y_r)/(2)`

`16 = 10+y_r`

`y_r = 6`


`\textbf{r = (8,6)}`