Find the equation of the line that is perpendicular to y=2x+4 and passes through the point (2,-2)

y=-1/2x-1

Step-by-step explanation:

1) if another line is perpendicular to a lune, the other line's slope is the negative reciprocal of that lines slope

so

this line slope; 2

other line slope; -1/2

2) lets plug in the points (2.-2) in the other lines equation

so

(-2)=-1/2(2)+b

-2=-1+b

-1=b

so other lines equation:

y=-1/2x-1