Convert the mixed number slope to an improper fraction: 3 \(\frac{1}{5} = \frac{16}{5}\)

Use the point-slope form with the given point (3,15)

y - 15 = \(\frac{16}{5}\)(x - 3)

Multiply both sides by 5 to clear the fraction: 5(y−15) = 16(x−3)

5y − 75 = 16x − 48

Rearrange terms to standard form: 5y − 16x − 75 + 48 = 0

5y − 16x − 27 = 0