105k views
1 vote
Find the midpoint of the segment with the following endpoints (2,4) and(8,8)

User Amoy
by
8.4k points

1 Answer

7 votes

Answer:

(5,6)

Explanation:

just answered a similar question for you a while ago so I have updated by response to match the different values:

the midpoint formula is

(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2

so to solve for the midpoint, we take our endpoints and plug it into the formula

we will list the coordinates as the following to plug it into the formula:

x coordinate 1 = 2

x coordinate 2 = 8

y coordinate 1 = 4

y coordinate 2 = 8

substituting these values into the formula we get this:

x =(2 + 8/2) , y = (4 + 8/2)

x = 2 + 8 = 10/2 = 5 which is our x coordinate for the midpoint

y = 4 + 8 = 12/2 = 6 which is our y coordinate for the midpoint

in an ordered pair it would be (5, 6)

User Jarmo
by
7.9k points