1. **State the problem:** Find the slope-intercept form of the line passing through the points $(1,2)$ and $(-1,-4)$. 2. **Calculate the slope $m$:** $$m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 2}{-1 - 1} = \frac{-6}{-2} = 3$$ 3. **Write the slope-intercept form:** The equation is $y = mx + b$, where $m=3$ and $b$ is the y-intercept. 4. **Find the y-intercept $b$ using one point, say $(1,2)$:** $$2 = 3(1) + b \implies 2 = 3 + b \implies b = 2 - 3 = -1$$ 5. **Final equation:** $$y = 3x - 1$$ This is the slope-intercept form of the line through the given points.