Answer:
y = -1/4x - 1
Step-by-step explanation:
First, put the equation in slope intercept form:
4x - y = 2
4x - 2 - y = 0
4x - 2 = y
y = 4x - 2
Perpendicular lines have opposite reciprocal slopes. Since the original slope is 4, the other line's slope will be -1/4
Plug in the given point and the slope into y = mx + b, then solve for b:
y = mx + b
-2 = -1/4(4) + b
-2 = -1 + b
-1 = b
Plug in the slope and b into the equation:
y = -1/4x - 1 is the equation
