1. The problem asks to find the equation of a line with slope $\frac{3}{5}$ and y-intercept $-4$. 2. The slope-intercept form of a line is given by the formula: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Substitute the given slope $m = \frac{3}{5}$ and y-intercept $b = -4$ into the formula: $$y = \frac{3}{5}x - 4$$ 4. This is the equation of the line with the specified slope and y-intercept. Final answer: $$y = \frac{3}{5}x - 4$$