1. **State the problem:** We are given two points: Point A $(7.83, 5541.37)$ and Point B $(7.86, 6464.80)$. We want to find the equation of the line passing through these points first using the point-slope form, then convert it to slope-intercept form. 2. **Calculate the slope $m$:** The slope formula is $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Substitute the values: $$m = \frac{6464.80 - 5541.37}{7.86 - 7.83} = \frac{923.43}{0.03} = 30781$$ 3. **Write the point-slope form:** The point-slope form is $$y - y_1 = m(x - x_1)$$ Using Point A $(7.83, 5541.37)$: $$y - 5541.37 = 30781(x - 7.83)$$ 4. **Convert to slope-intercept form:** Expand and simplify: $$y - 5541.37 = 30781x - 30781 \times 7.83$$ Calculate: $$30781 \times 7.83 = 240995.23$$ So, $$y - 5541.37 = 30781x - 240995.23$$ Add $5541.37$ to both sides: $$y = 30781x - 240995.23 + 5541.37 = 30781x - 235453.86$$ 5. **Final equation:** $$\boxed{y = 30781x - 235453.86}$$ This is the slope-intercept form of the line passing through the two points.