1. **State the problem:** Find the equation of the line passing through points A(7.83, 5541.37) and B(7.86, 6464.80) using the slope-intercept form. 2. **Formula used:** The slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Calculate the slope $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6464.80 - 5541.37}{7.86 - 7.83} = \frac{923.43}{0.03} = 30781$$ 4. **Find the y-intercept $b$:** Use point A to solve for $b$: $$5541.37 = 30781 \times 7.83 + b$$ $$b = 5541.37 - 30781 \times 7.83 = 5541.37 - 240999.23 = -235457.86$$ 5. **Write the equation:** $$y = 30781x - 235457.86$$ 6. **Interpretation:** This line has a very steep positive slope, indicating a rapid increase in $y$ as $x$ increases slightly.