# What are the coordinates of the midpoint of the segment with endpoints at (1,5) and (3, 5)?

Mar 13, 2016

The co-ordinates are $\left(2 , 5\right)$

#### Explanation:

If you were to plot these two points on a grid you would easily see the mid-point is $\left(2 , 5\right)$.
Using algebra, the formula for locating the mid point is:
$\left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$
In your case${x}_{1}$ = 1 and ${x}_{2}$ =3. So $\left(\frac{1 + 3}{2}\right)$ = $\left(\frac{4}{2}\right)$=$2$
Next, ${y}_{1}$ = 5 , and ${y}_{2}$=5. So $\left(\frac{5 + 5}{2}\right)$ = $\left(\frac{10}{2}\right)$= $5$

Therefore the mid point is $\left(2 , 5\right)$