Answer:
given ,
two points A ( -1 , 2 ) and B ( 0 , -14 )
- to find - coordinates of midpoint of A and B
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[tex]\fbox\pink{Solution -}[/tex]
let the midpoint be P ( x , y )
using midpoint formula ,
[tex]P(x,y) = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} ) \\ \\ P(x,y) = ( \frac{ - 1 + 0}{2} , \frac{2 + ( - 14)}{2} ) \\ \\ (x,y) = ( \frac{ - 1}{2} , \frac{ - 12}{2} ) \\ \\ x = \frac{ - 1}{2} \\ \\ y = \frac{ - 12}{2} => - 6[/tex]
thus ,
the coordinates of the midpoint are
[tex]\red{P( \frac{ - 1}{2} , - 6)} \\ \\ or \\ \\ \red{P( -0.5 , - 6 )} [/tex]
hope helpful :D
