# How do you find the midpoint of the line segment joining P(-4,-1) and Q(-1,7)?

Jun 25, 2016

The midpoint $= \left(- 2.5 , 3\right)$

#### Explanation:

The coordinates are:
P (-4,-1) = color(blue)(x_1 , y_1

Q (-1 , 7) = color(blue)(x_2 , y_2

The midpoint is calculated using formula:

Midpoint $= \left(\textcolor{b l u e}{\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}}\right)$

$= \left(\frac{- 4 + \left(- 1\right)}{2} , \frac{- 1 + 7}{2}\right)$

$= \left(\frac{- 5}{2} , \frac{6}{2}\right)$

$= \left(- 2.5 , 3\right)$