Respuesta :
Answer: The co-ordinates of the mid-point are (4, 7).
Step-by-step explanation: We are given to find the co-ordinates of the mid-point of the segment with endpoints A(2, 3) and B(6, 11).
We know that the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by
[tex]M_c=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Since the endpoints of line segment AB are A(2, 3) and B(6, 11), so the co-ordinates of the mid-point of AB will be
[tex]M_c=\left(\dfrac{2+6}{2},\dfrac{3+11}{2}\right)=\left(\dfrac{8}{2},\dfrac{14}{2}\right)=(4,7).[/tex]
Thus, the co-ordinates of the mid-point are (4, 7).
