Slope Tx A3D2E5

1. **State the problem:** We need to find whether the slope of the line passing through points $T(15, 2)$ and $X(45, 5)$ is positive or negative. 2. **Formula for slope:** The slope $m$ between two 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 points:** Here, $x_1 = 15$, $y_1 = 2$, $x_2 = 45$, and $y_2 = 5$. So, $$m = \frac{5 - 2}{45 - 15}$$ 4. **Calculate the numerator and denominator:** $$m = \frac{3}{30}$$ 5. **Simplify the fraction:** $$m = \frac{\cancel{3}}{\cancel{30}} = \frac{1}{10}$$ 6. **Interpret the slope:** Since $m = \frac{1}{10}$ is positive, the slope of line $TX$ is positive. 7. **Explain why:** A positive slope means the line rises from left to right, which matches the description of the graph. **Final answer:** The slope of $TX$ is positive because the graph rises from left to right.