Answer:
[tex]y=4sin(\frac{10\pi}{7}x)+5[/tex]
Step-by-step explanation:
Recall formula
[tex]y=asin(bx+c)+d\\\\y=4sin(bx)+5[/tex]
Determine b from period
[tex]\frac{2\pi}{b}=\frac{7}{5}\\ \\ 10\pi=7b\\\\b=\frac{10\pi}{7}[/tex]
Final Equation
[tex]y=4sin(\frac{10\pi}{7}x)+5[/tex]
