Question

Find the other endpoint given endpoint (-10,7) midpoint (6,2)

Answer 1

Answer:

(22;-3)

Step-by-step explanation:

if to calculate the coordinates of the given midpoint it needed to use:

$x_{midpoint}=\frac{x_{endpoint1}+x_{endpoint2}}{2};$

$y_{midpoint}=\frac{y_{endpoint1}+y_{endpoint2}}{2};$

then to calculate the coordinates of endpoint2, it needed to perform the substitution:

$\frac{-10+x_{endpoint2}}{2}=6,$

$2=\frac{7+y_{endpoint2}}{2},$

finally:

$x_{endpoint2}=22;$

$y_{endpoint2}=-3.$