Final answer:
The value of x that satisfies the equation y = -x - 4 with the point (x, 6) is x = -10. The value of y that satisfies the equation y = -2x^2 with the point (-2, y) is y = -8.
Step-by-step explanation:
To find the value of x so that (x, 6) satisfies y = -x - 4, we substitute y with 6 and solve for x:
6 = -x - 4
Add 4 to both sides:
6 + 4 = -x
10 = -x
Therefore, x = -10.
To find the value of y so that (-2, y) satisfies y = -2x^2, we substitute x with -2:
y = -2(-2)^2
y = -2(4)
y = -8
Therefore, y = -8.