Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

Find Slope

4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2


Insert slope into the general equation y = mx + c

y = 1/2x + c


Find y-intercept 

y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2 
c = 7/2


Insert y-intercept into y = 1/2 x + c

y = 1/2 x + 7/2
2y = x + 7


2y = x + 7