1. **State the problem:** We need to find the slope $m$ of the line passing through the points $(-7, -7)$ and $(7, 7)$. 2. **Recall the formula for slope:** The slope $m$ of a line through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ This formula measures how much $y$ changes for a change in $x$. 3. **Substitute the given points:** $$m = \frac{7 - (-7)}{7 - (-7)}$$ 4. **Simplify the numerator and denominator:** $$m = \frac{7 + 7}{7 + 7} = \frac{14}{14}$$ 5. **Cancel common factors:** $$m = \frac{\cancel{14}}{\cancel{14}} = 1$$ 6. **Interpretation:** The slope is $1$, meaning the line rises one unit vertically for every one unit it moves horizontally. --- **How to find points easily on a line:** - Look for points where the line crosses grid intersections (integer coordinates). - Use the axes intercepts if visible. - Pick points that are easy to read from the graph to avoid errors. **Final answer:** Slope $m = 1$