Write the equation of the line which has a slope of $\frac{4}{5}$ and passes through $(5,3)$. Write the answer in slope-intercept form.

Step 1 ：Write the point-slope form of a linear equation: $y - y_1 = m(x - x_1)$

Step 2 ：Plug in the given point $(5, 3)$ and slope $\frac{4}{5}$: $y - 3 = \frac{4}{5}(x - 5)$

Step 3 ：Simplify the equation: $y - 3 = \frac{4}{5}x - \frac{20}{5}$

Step 4 ：Add 3 to both sides of the equation: $y = \frac{4}{5}x - \frac{20}{5} + 3$

Step 5 ：Combine the constants: $y = \frac{4}{5}x - 1$

Step 6 ：\(\boxed{y = \frac{4}{5}x - 1}\)