Answer:
y = -1/2 x + 4
Explanation:
y = 2x + 4
Since this equation is in slope-intercept form, the slope of the line is 2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of a line perpendicular to this line would be -1/2.
So, any equation of the form y = -1/2 x + b
it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.