Question

Q(5,5) ND R(1,3) are the endpoints of a line segment. hat is the midpoint M of that line segment? Write the coordinates as decimals or integers.

Answer 1

To find the midpoints, we will use the formula below:

`(x_m,y_m)=((x_1+x_2)/(2),\text{ }(y_1+y_2)/(2))`

The points given are:

Q(5,5) R(1,3)

The coordinates are:

x₁= 5 y₁=5 x₂=1 y₂=3

substitute the values into the formula and evaluate

`(x_m,y_m)=((5+1)/(2),\text{ }(5+3)/(2))`
`=((6)/(2),\text{ }(8)/(2))`
`=(3,\text{ 4)}`

Hence the coordinates of the midpoints are (3, 4)