1. **State the problem:** Find the slope $m$ of the line passing through the points $(11,14)$ and $(-18,3)$. 2. **Recall the slope formula:** $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1,y_1)=(11,14)$ and $(x_2,y_2)=(-18,3)$. 3. **Substitute the values:** $$m=\frac{3 - 14}{-18 - 11} = \frac{-11}{-29}$$ 4. **Simplify the fraction:** $$m=\frac{\cancel{-11}}{\cancel{-29}} = \frac{11}{29}$$ 5. **Interpretation:** The slope is positive $\frac{11}{29}$, meaning the line rises slowly as it moves from left to right. **Final answer:** $$m=\frac{11}{29}$$