Find an equation for the line with the given properties Perp

Find an equation for the line with the given properties.

Perpendicular to the line y = -4x + 3; containing the point (2, -2)

slope of the line y = -4x + 3 is m₁=-4

slope of required line by m₂

product of slopes of perpendicular lines =-1

m₁m₂=-1

(-4)m₂=-1

m₂=-1/-4

m₂=1/4equation of line with slope (1/4) and passing through (2,-2) using point slope form is

y-(-2)=(1/4)(x-2)

y+2=(1/4)x -(1/2)

y=(1/4)x-(1/2)-2

y =(1/4)x-(5/2) is the equation of line Perpendicular to the line y = -4x + 3; containing the point (2, -2)