1. The problem is to graph the points A(7.83, 5541.37) and B(7.86, 6464.80) and verify the slope of the line given by the equation $y = 30781x - 246556.6$. 2. The slope formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Calculate the slope between points A and B: $$m = \frac{6464.80 - 5541.37}{7.86 - 7.83} = \frac{923.43}{0.03} = 30781$$ 4. The calculated slope $30781$ matches the slope in the given equation. 5. The line equation is $y = 30781x - 246556.6$, which means the line passes through these points with the given slope. 6. To graph, plot points A and B and draw the line $y = 30781x - 246556.6$ passing through them.