D
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 5x + 2 is in this form with m = 5
Given a line with slope m then the slope of a line perpendicular to it is
perpendicular slope = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
the only equation from the list with this slope is equation D
