Mathematics: What is the midpoint of the line segment with endpoints (1, –6) and (–3, 4)?

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What is the midpoint of the line segment with

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13.03.2022

f the line segment with endpoints (1, –6) and (–3, 4)

Step-by-step explanation:

We know that the coordinates of mid point (x,y) between any two points (a,b) and (c,d) on a line segment is given by :-

$x=\dfrac{a+c}{2}\\\\ y=\dfrac{b+d}{2}$

Similarly , the coordinates of the midpoint of the line segment with endpoints (1, –6) and (–3, 4) will be

$x=\dfrac{-3+1}{2}=\dfrac{-2}{2}=-1\\\\y=\dfrac{-6+4}{2}=\dfrac{-2}{2}=-1$

Hence, the midpoint f the line segment with endpoints (1, –6) and (–3, 4) is (-1,-1).

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