Question

Find the midpoint of the line segment joining the points $\left(3,0\right)$ and $\left(-1,4\right)$.

Answer 1

Compute the midpoint.

Here $\left(x_1,y_1\right)=\left(3,0\right)$ and $\left(x_2,y_2\right)=\left(-1,4\right)$.

We know that

Midpoint $=\left(\left(\frac{x_1+x_2}{2}\right),\left(\frac{y_1+y_2}{2}\right)\right)$

$$\begin{gathered} =\left(\left(\frac{3-1}{2}\right),\left(\frac{0+4}{2}\right)\right) \\ =\left(\frac{2}{2},\frac{4}{2}\right) \\ =\left(1,2\right) \end{gathered}$$

Hence, the midpoint of the line segment joining the points $\left(3,0\right)$ and $\left(-1,4\right)$ is $\left(1,2\right)$.