Question

Midpoint Formula:

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 $(x_2, y_2)$

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

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,

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

Thus the required midpoint is (3, 3)