Question

Geometry

> B.9 Midpoint formula: find the midpoint 2YG
S(8, 8) and T(4, 10) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M =

Answer 1

The midpoint (x,y)=(6,9)

Explanation:

We need to find midpoints(x,y) of the line segment having endpoints S(8, 8) and T(4, 10)

The formula to find midpoint is:

`Midpoint(x,y)=((x_1+x_2)/(2),(y_1+y_2)/(2))\\`

We are given:
`x_1=8, y_1=8, x_2=4 , y_2=10`

Putting values and finding midpoint

`Midpoint(x,y)=((x_1+x_2)/(2),(y_1+y_2)/(2))\\Midpoint(x,y)=((8+4)/(2),(8+10)/(2))\\Midpoint(x,y)=((12)/(2),(18)/(2))\\Midpoint(x,y)=(6,9)`

So, the midpoint (x,y)=(6,9)