Answer:
y = -2x-2
Explanation:
y=mx+b
m is the slope, which you already wrote (-2)
b is the initial condition, the value of y when x equals 0.
For (-4,6), we need a value 0 for x, so we add 4, but for each x value added, we add -2 to the y value, so 4 times, 6 - 8 = -2
Hope that helps