Answer:

Any line joining the given two points (-2,-3) and (6, k) will have its gradient,

m = (k+3)/(6+2) =(k+3)/8 …….(1)

The given line has a gradient, m = 2/3 …….(2)

Therefore, equating (1) and (2) we get,

(k+3)/8 = 2/3 Or, k+3 =16/3 Or, k = (16/3) - 3 = 7/3

Step-by-step explanation:

*I hope it helpful*