Question

The mid-point of the line-segment AB is P(0, 4). If the coordinates of B are (–2, 3) then the coordinates of A are ______.

Options

• (2, 5)

• (–2, –5)

• (2, 9)

• (–2, 11)

Answer 1

The mid-point of the line-segment AB is P(0, 4). If the coordinates of B are (–2, 3) then the coordinates of A are (2, 5).

Explanation:

Using mid-point formula,

`0 = (x - 2)/2`

⇒ x = 2

And `4 = (y + 3)/2`

⇒ y = 5

∴ A(x, y) = A(2, 5)