Question

Find the coordinates of the mid-point of the line segment with points A(– 2, 4) and B(–6, –6) on both ends.

Options

• (4, –1)

• (–4, –1)

• (4, 1)

• (– 4, 1)

Answer 1

(–4, –1)

Explanation:

A(– 2, 4) and B are the given points (– 6, – 6).

The coordinates of a line's midpoint are stated as,

x = `(x_1 + x_2)/2`

= `(-2 + (-6))/2`

= `(-8)/2`

= – 4

y = `(y_1 + y_2)/2`

= `(4 + (-6))/2`

= `(-2)/2`

= – 1

As a result, the mid-point coordinates are (– 4, –1).