Question

Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).

Answer 1

The midpoint of the line segment with endpoints (-2, 5) and (4, -9) is found using the midpoint formula and is (1, -2).

Step-by-step explanation:

To find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9), you use the midpoint formula, which is derived from finding the average of the x-coordinates and the y-coordinates of the endpoints respectively.

The midpoint formula is:

( (x1 + x2) / 2, (y1 + y2) / 2 )

Plugging in our given endpoints (-2, 5) and (4, -9) into the formula, it becomes:

( (-2 + 4) / 2, (5 + (-9)) / 2 )

This simplifies to:

( 2 / 2, -4 / 2 )

And finally:

( 1, -2 )

Therefore, the midpoint of the line segment is at coordinates (1, -2).

Answer 2

The midpoint is
`(1,-2)`

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

`M((x1+x2)/(2),(y1+y2)/(2))`

we have

`(x1,y1)=(-2,5)`

`(x2,y2)=(4,-9)`

substitute

`M((-2+4)/(2),(5-9)/(2))`

`M(1,-2)`