Determine the coordinates of the line's midpoint, which connects the points (2,3) and (4,7)

To answer this question, we will use the midpoint formula.  And it is written as $x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$where $\left(x_1,y_1\right),\left(x_2,y_2\right)$are the two given points and (x,y) is the coordinate of the midpoint of the line segment connecting $\left(x_1,y_1\right),\left(x_2,y_2\right)$

Suppose $(x, y)$the mid-point of line joining the points $\left(x_1,y_1\right)$ And $\left(x_2,y_2\right)$

Then, $x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

By comparing from the above points ${\mathrm{x}}_1=2,{\mathrm{y}}_1=3,{\mathrm{x}}_2=4,{\mathrm{y}}_2=7$

And we are asked to find (x, y)

So $x=\frac{2+4}{2}=\frac{6}{2}=3$

and $y=\frac{3+7}{2}=\frac{10}{2}=5$

So the mid-point is (3,5).