Question

What are the coordinates of the midpoint of AB

Answer 1

Answer:

$\text{The mid-point of AB is }(\frac{-3}{2},-1)$

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.

$\text{The coordinate of mid-point of line segment joining the points }(x_1,y_1)\text{ and }(x_2, y_2)$

$\text{Mid-point of AB=}(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\text{The coordinate of mid-point of line segment joining the points }A(-4,2)\text{ and }B(1,-4)$

$=(\frac{-4+1}{2},\frac{2+(-4)}{2})=(\frac{-3}{2},-1)$

$\text{Hence, the mid-point of AB is }(\frac{-3}{2},-1)$

Option 2 is correct.

Answer 2

Answer: (-3/2,-1)

Step-by-step explanation: