Given the function y-4=5/6(x-2), complete the table of values by entering the missing value.

table:
x: -10 | -4 | -1 | ?

y: -6 | -1 | 3/2 | 9

and how did you find the that answer?

The first thing you do is substitute 9 for y in the function, which is,

9 - 4 = 5/6 (x - 2)

Then, you subtract on the left side

5 = 5/6 (x - 2)

Then, you multiply by 6 on both sides

30 = 5 (x - 2)

Then, divide both sides by 5

6 = x - 2

Then, at 2 on both sides to isolate x
& your final answer is

x = 8 (this would be the missing value)