Question

Midpoint Formula:

Find the coordinates of the midpoint of the segment joining the given
1. (0, 2) and (6,4)​

Answer 1

The coordinates of the midpoint of the segment joining the two points (0, 2) and (6, 4)​ is (3, 3)

Solution:

Given that two points are (0, 2) and (6, 4)​

To find: coordinates of the midpoint of the segment joining the two points

The midpoint of line joining two points is given as:

For a line containing two points
`(x_1, y_1)` and
`(x_2, y_2)`

`\text {Midpoint}(x, y)=\left((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)\right)`

In the given sum, two points are (0, 2) and (6, 4)​

`x_(1)=0 ; y_(1)=2 ; x_(2)=6 ; y_(2)=4`

Substituting the values in given formula,

`\begin{array}{l}{\text {Midpoint}(x, y)=\left((0+6)/(2), (2+4)/(2)\right)} \\\\ {\text {Midpoint }(x, y)=\left((6)/(2), (6)/(2)\right)=(3,3)}\end{array}`

Thus the required midpoint is (3, 3)