write an equation in the form of yasinbxc if the period is 3

write an equation in the form of y=asin(bx-c) if the period is 3/7 , the amplitude is 5, and the horizontal shift is 2/3

Genearl equation : y=asin(bx-c)

where Time Period T = 2pi/b = 3pi/7

b = 14/3

phase shift c/b = 2pi/3

c = b*2pi/3 = 28pi/9

amplitude a =5

Substituting above values:

y = 5sin(14x/3 - 29pi/9 )