Question

Find the value of k, if P(4, -2) is the mid points of the line segment joining the points

a(5k, 3) and B(-k, -7)​

Answer 1

       $\underline{\bold{Answer:}}$

       $\boxed{k = 2}$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{It is given that }P(4,-2) \text{ is the midpoint of line segment joining}$

       $A(5k,3) \text{ and }B(-k,-7)$

       $\text{Applying midpoint formula }$

$\implies \boxed{4 = \frac{5k+(-k)}{2}}$

$\implies \boxed{4 = \frac{5k-k}{2} }$

$\implies \boxed{4 = \frac{4k}{2} }$

$\implies \boxed{4 = 2k}$

$\implies \boxed{2=k}$

Answer 2

Step-by-step explanation:

given P(4,-2),here a=4, b=-2, I have attached the explanation .