Answer:
[tex]\text{The mid-point of AB is }(\frac{-3}{2},-1)[/tex]
Option 2 is correct.
Step-by-step explanation:
Given the coordinate points of line segment AB which are A(-4,2) and B(1,-4)
we have to find the mid-point of the line segment AB.
[tex]\text{The coordinate of mid-point of line segment joining the points }(x_1,y_1)\text{ and }(x_2, y_2)[/tex]
[tex]\text{Mid-point of AB=}(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]\text{The coordinate of mid-point of line segment joining the points }A(-4,2)\text{ and }B(1,-4)[/tex]
[tex]=(\frac{-4+1}{2},\frac{2+(-4)}{2})=(\frac{-3}{2},-1)[/tex]
[tex]\text{Hence, the mid-point of AB is }(\frac{-3}{2},-1)[/tex]
Option 2 is correct.
