Question

The midpoint of ABis M (0,-7). If the coordinates of A are (-2,-6), what are the coordinates of B?

Answer 1

The coordinates of B will be "(2, -8)".

Given:

Midpoint of AB,

(x, y) = (0, -7)

Coordinates of A,

(x₁, y₁) = (-2, -6)

As we know,

The formula of midpoint is:

→ $X =\frac{x_1+x_2}{2}$

    $0=\frac{-2+x_2}{2}$

    $0=-2+x_2$

  $x_2=2$

→ $Y=\frac{y_1+y_2}{2}$

 $-7=\frac{-6+y_2}{2}$

$-14=-6+y_2$

   $y_2=-14+6$

   $y_2=-8$

hence,

→ $(x_2,y_2)=(2, -8)$

Thus the above answer is correct.      

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