M(7, 5) is the midpoint of line rs the coordinates of s are (8, 7). what are the coordinates of r?

The coordinates of point R are (6 , 3)

Step-by-step explanation:

* Lets revise the rule of the mid-point

- The mid point (x , y)of a line whose end points are

 and is

∵ M is the mid point of line RS

∵ The coordinates of point M are (7 , 5)

∴ x = 7 and y = 5

∵ The coordinates of point R are

∵ The coordinates of point S are (8 , 7)

∴  = (8 , 7)

∴ and

- By using the rule above

∵

∵

- Multiply both sides by 2

∴

- Subtract both sides by 8

∴

∴ the x-coordinate of point R is 6

∵

∵

- Multiply both sides by 2

∴

- Subtract both sides by 7

∴

∴ the y-coordinate of point R is 3

* The coordinates of point R are (6 , 3)