Question

What is the midpoint of AC on the grid below?

Answer 1

Answer: Coordinates of the point E of the middle AC (-1 ; 1 )

Explanation:

• The middle of AC can be calculated by the formula :

• 
  `\sf \displaystyle M=\left ((x_1+x_2)/(2) \ ; \ (y_1+y_2)/(2) \right ) =(x_m \ ; \ y _m )`

• In our case :
• A(2 ; 4) ; C(-4 ; -2)
• Then :

• 
  `\sf \displaystyle M=\left ((2+(-4))/(2) \ ; \ (4-2)/(2) \right ) =(-1 \ ; \ 1 )`

• Coordinates of the point E of the middle AC (-1 ; 1 )