equation of a line that passses through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
perpendicular lines have slopes that mulitply to get -1
given
y-2=7/3(x+5)
slope is 7/3
perpendicular
7/3 times slope=-1
times 3/7 both sides
slope=-3/7
given point is (-5,2)
y-2=-3/7(x-(-5))
y-2=-3/7(x+5)
C is answer