Question

The midpoint of ab is m (-2,-1) if the coordinates of a are (-7,2) what are the coordinates of b

Answer 1

The coordinates of b are: (x, y) = (3, -4)

Explanation:

Given

Given that the midpoint of the ab is:

• m(-2, -1)

The coordinates of a are:

• (-7, 2)

To determine

The coordinates of b = ?

Let b (x, y) be the coordinates of b.

Given that the midpoint of the ab is m(-2, -1)

Thus,

(x - 7) / 2 = -2, (y + 2) /2 = -1

now solving

(x - 7) / 2 = -2

(x - 7) = -2 × 2

x - 7 = -4

adding 7 in both sides

x - 7 + 7 = -4 + 7

x = 3

and solving

(y + 2) /2 = -1

(y + 2) = -1 × 2

y + 2 = -2

subtracting 2 from both sides

y + 2 - 2 = -2 - 2

y = -4

Thus,

The coordinates of b are: (x, y) = (3, -4)