Answer:
y = -2x + 2
Explanation
Given the coordinates (-1,4) and (-5,12)
The standard equation of a line is expressed as y = mx+c
m is the slope = 12-4/-5-(-1)
m = 8/-4
m = -2
Substitute m = -2 and the point (-1, 4) into the equation y = mx+c
4 = -2(-1)+c
4 = 2 + c
c = 4-2
c = 2
Get the required equation
Substitute m = -2 ans c = 2 into y = mx+c
y = -2x + 2