1. **State the problem:** We are given two points A(7.83, 5541.37) and B(7.86, 6464.80) and need to find the equation of the line passing through these points in slope-intercept form $y = mx + b$. 2. **Formula for slope:** The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Calculate the slope:** $$m = \frac{6464.80 - 5541.37}{7.86 - 7.83} = \frac{923.43}{0.03} = 30781$$ 4. **Use point-slope form to find $b$:** The slope-intercept form is $y = mx + b$. Using point A to solve for $b$: $$5541.37 = 30781 \times 7.83 + b$$ $$b = 5541.37 - 30781 \times 7.83$$ $$b = 5541.37 - 240999.23 = -235457.86$$ 5. **Write the final equation:** $$y = 30781x - 235457.86$$ This is the slope-intercept form of the line passing through points A and B.