Answer:
y= -1/4x -6
Step-by-step explanation:
Slope of a perpendicular line is just the negative reciprocal ( 3/4 becomes -4/3 or 2/5 becomes -5/2)
In this case the slope is 4 or 4/1 so it becomes -1/4
so plug in the new slope -1/4 and the x and y values of (-4, -6) into the equation y = mx + b and solve for b
-6= -1/4 (-4) + b
-6= 1 + b
-6 = b
final answer is y= -1/4x -6
