How do I find the midpoint of the line segment having the given endpoints. (8, 1) and (2, 9)

Thank you.

halfway between 8 and 2 = 10/2 = 5

halfway between 1 and 9 = 10/2 = 5
so
(5,5)

Wow, Thank you!

To find the midpoint of a line segment given its endpoints (x1, y1) and (x2, y2), you can use the midpoint formula.

The midpoint formula is given as:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the given endpoints are (8, 1) and (2, 9).

To find the midpoint, substitute the given values into the midpoint formula:

x1 = 8
x2 = 2
y1 = 1
y2 = 9

Midpoint = ((8 + 2)/2, (1 + 9)/2)
= (10/2, 10/2)
= (5, 5)

Therefore, the midpoint of the line segment with endpoints (8, 1) and (2, 9) is (5, 5).

To find the midpoint of a line segment with given endpoints (x1, y1) and (x2, y2), you can use the Midpoint Formula.

The Midpoint Formula states that the coordinates of the midpoint (x, y) between the endpoints can be found using the following formula:

x = (x1 + x2) / 2
y = (y1 + y2) / 2

Let's apply this formula to the given endpoints (8, 1) and (2, 9) to find the midpoint:

Step 1: Assign the endpoints to variables:
x1 = 8, y1 = 1
x2 = 2, y2 = 9

Step 2: Apply the Midpoint Formula:
x = (x1 + x2) / 2 = (8 + 2) / 2 = 10 / 2 = 5
y = (y1 + y2) / 2 = (1 + 9) / 2 = 10 / 2 = 5

Therefore, the midpoint of the line segment with the given endpoints (8, 1) and (2, 9) is (5, 5).