Question

What are the coordinates of the midpoint of AB

Answer 1

Answer: (-3/2,-1)

Explanation:

Answer 2

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

Option 2 is correct.

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=}((x_1+x_2)/(2),(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)`

`=((-4+1)/(2),(2+(-4))/(2))=((-3)/(2),-1)`

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

Option 2 is correct.