Answer: 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 :-
[tex]x=\dfrac{a+c}{2}\\\\ y=\dfrac{b+d}{2}[/tex]
Similarly , the coordinates of the midpoint of the line segment with endpoints (1, –6) and (–3, 4) will be
[tex]x=\dfrac{-3+1}{2}=\dfrac{-2}{2}=-1\\\\y=\dfrac{-6+4}{2}=\dfrac{-2}{2}=-1[/tex]
Hence, the midpoint f the line segment with endpoints (1, –6) and (–3, 4) is (-1,-1).
