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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)
Solution
(–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).
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