To find the answer,we can use the two-point formula:

Where m is the slope.
To find y,we have to first find the slope,then insert either of the coordinates into the equation.
The formula of the slope:

In this case:

We can then put (-4,6) into the equation:
6-y = 2[x-(-4)]
-y = 2x+4(2)-6
-y = 2x+2
y = -(2x+2)
y = -2x-2
Therefore the answer is -2x-2.
Hope it helps!