What are the coordinates of the mid-point of the line segment joining \(A(-3,\,8)\) and \(B(9,\,-2)\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \((3,\,3)\)
The mid-point of the segment joining \((x_1,\,y_1)\) and \((x_2,\,y_2)\) is \(\displaystyle \left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right)\).
x-coordinate: \(\displaystyle \frac{-3+9}{2}=\frac{6}{2}=3\)
y-coordinate: \(\displaystyle \frac{8+(-2)}{2}=\frac{6}{2}=3\)
Mid-point \(M=(3,\,3)\)
