Question

Find the coordinates of the midpoint of the segment connecting points (–3, –6) and (2, 5). In your final answer, include the formula and calculations that you used to find the midpoint.

Answer 1

To solve this you need to use the midpoint formula ,which is (x1,y1) (x2,y2) and substitute in the given coordinates within the given/known formula : (x2+x1/2 , y2+y1/2)

x1,y1 =(-3,-6) , x2,y2 =(2,5)

=(2-3/2),(5-6/2)

This will give you a final (midpoint) answer(s) of (-1/2.-1/2)

Answer 2

Mid-point =
`(-(1)/(2) ,-(1)/(2) )`

Explanation:

We are given two points (–3, –6) and (2, 5) that connect a segment and we are to find its mid point.

We know that,

the mid-point of a pair of coordinates (
`x_(a) y_(a)`) and (
`x_(b) y_(b)`) is actually the (mid-point of x range, mid-point of y range).

We can use the following formula to find the mid-point:

`((x_a+x_b)/(2) ), ((y_a+y_b)/(2) )`

`= ((-3+2)/(2) ), ((-6+5)/(2) )`

`(-(1)/(2) ,-(1)/(2) )`

Therefore, the coordinates of the midpoint are (-1/2, -1/2).