Question

M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B

Answer 1

(4,6)

Explanation:

1. Midpoint formula:

• 
  `(x_m,y_m)=((x_1+x_2)/(2), (y_1+y_2)/(2) )`

2. Find
`x_2`:

• 
  `x_m=(x_1+x_2)/(2)`
• 
  `2=(0+x_2)/(2)`
• 
  `x_2=4`

3. Find
`y_2`:

• 
  `y_m=(y_1+y_2)/(2)`
• 
  `5=(4+y_2)/(2)`
• 
  `y_2=6`

4. Coordinates of B:

• 
  `(x_2, y_2)=(4,6)`