Answer:
(-10,10)
Step-by-step explanation:
Let us consider coordinates of L are : (x,y)
Mid point formula is : [tex](\frac{x_{1} + x_{2} }{2}) , (\frac{y_{1} + y_{2} }{2})[/tex]
and assume that x₁ and y₁ are coordinates of K which is (2,-6) and x₂ and y₂ are coordinates of L
so [tex]\frac{2 + x }{2}= -4 \\2 + x = -8\\x = -10[/tex]
[tex]\frac{-6 + y }{2} = 2\\-6 + y = 4\\y = 10[/tex]
coordinates of L are : (-10,10)
