1. **State the problem:** Find the slope of the line represented by the equation $f(t) = 2t - 6$. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mt + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and y-intercept:** In the equation $f(t) = 2t - 6$, the coefficient of $t$ is 2, so the slope $m = 2$. The constant term is $-6$, so the y-intercept $b = -6$. 4. **Conclusion:** The slope is 2 and the y-intercept is -6. **Final answer:** The slope is 2 and the y-intercept is -6.