A segment has endpoints with coordinates (a,2b) and (-3a,4b). write the coordinates of the midpoint of the segment in terms of a and b

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22-08-2017
Mathematics

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A segment has endpoints with coordinates (a,2b) and (-3a,4b). write the coordinates of the midpoint of the segment in terms of a and b

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eco92 eco92 · Answer 1 · 2017-08-29T10:32:32+02:00

eco92 eco92

29-08-2017

Given any 2 point P(m,n) and Q(k,l),

the coordinates of the midpoint of the line segment PQ are given by the formula:

[tex]M_{PQ}=( \frac{m+k}{2} , \frac{n+l}{2})[/tex],

Thus, given the points with coordinates (a,2b) and (-3a,4b),

the midpoint is

[tex]( \frac{a+(-3a)}{2} , \frac{2b+4b}{2} )=( \frac{-2a}{2} , \frac{6b}{2} )=(-a, 3b)[/tex]

Answer: (-a, 3b)

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