Question: Find the slope of $0,10$ and $24,6$
1. **State the problem:** Find the slope of the line passing through the points $(0, 10)$ and $(24, 6)$.
2. **Formula for slope:** The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Substitute the given points:**
$$m = \frac{6 - 10}{24 - 0}$$
4. **Calculate the numerator and denominator:**
$$m = \frac{-4}{24}$$
5. **Simplify the fraction:**
$$m = \frac{\cancel{-4}}{\cancel{24}} = \frac{-1}{6}$$
6. **Interpretation:** The slope of the line is $-\frac{1}{6}$, which means for every increase of $6$ units in $x$, $y$ decreases by $1$ unit.
**Final answer:**
$$m = -\frac{1}{6}$$