Step-by-step explanation:
x+4y = 2
4y= -x+2
slope of the above line = -1/4
The slope of the required line which is perpendicular to this line = 4
And, the required line also passes through(-2,6)
The equation of the line that is perpendicular to the line x+4y=2 and goes through the point (-2,6)
4x-y+14=0