# How do you find the coordinates of the midpoint of CM with endpoints C(1,-6) and M(7,5)?

Nov 28, 2016

$\left(x , y\right) = \left(4 , - 0.5\right)$

#### Explanation:

The co-ordinates of the mid-point of a line is given by -

$\left(x , y\right) = \frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}$

${x}_{1} = 1$
${x}_{2} = 7$
${y}_{1} = - 6$
${y}_{2} = 5$

Then-

$\left(x , y\right) = \frac{1 + 7}{2} , \frac{- 6 + 5}{2}$

$\left(x , y\right) = \frac{8}{2} , \frac{- 1}{2}$

$\left(x , y\right) = \left(4 , - 0.5\right)$