Simply plug the given values into the equation to solve for the missing data in the table:
We know that x = -6. This means:
y = (-2/3)(6) + 7 = -4 + 7 = 3
We know that y = 5. This means:
5 = (-2/3)(x) + 7
5 - 7 = (-2/3)x
-2(-3/2) = x
3 = x
We know that x = 15. This means:
y = (-2/3)(15) + 7 = -10 + 7 = -3
We know that y = 15. This means:
15 = (-2/3)(x) + 7
15 - 7 = (-2/3)(x)
8(-3/2) = x
-12 = x