Point m is the midpoint of ab if the coordinates of a are (-3,6) and the coordinates of m are (-5,2) what are the coordinates of b ?
answer #5

The coordinates of point B are (-7 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- The mid-point (x , y) of the line whose endpoints are (x1 , y1) and

 (x2 , y2) is

∵ M is the midpoint of AB

∵ The coordinates of point A are (-3 , 6)

∵ The coordinates of point M are (-5 , 2)

- Let the coordinates of point A are (x1 , y1) , The coordinates of

 point B are (x2 , y2) and The coordinates of point M are (x , y)

∴ x = -5 , x1 = -3 and y = 2 , y1 = 6

- Lets use the rule of the mid point to find x2 , y2

∵ ⇒ multiply both sides by 2

∴ ⇒ add 3 to both sides

∴ -7 = x2

∵ ⇒ multiply both sides by 2

∴ ⇒ subtract 6 from both sides

∴ -2 = y2

∵ The coordinates of point B are (x2 , y2)

∴ The coordinates of point B are (-7 , -2)

ñplokuhtgfedij

step-by-step explanation: