1. **State the problem:** We need to find the slope of line d, which is parallel to line c. Line c passes through points (7, 10) and (3, 3). 2. **Recall the formula for slope:** The slope $m$ of a line passing 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. **Calculate the slope of line c:** Using points $(7, 10)$ and $(3, 3)$: $$m_c = \frac{3 - 10}{3 - 7} = \frac{-7}{-4}$$ 4. **Simplify the fraction:** $$m_c = \frac{\cancel{-7}}{\cancel{-4}} = \frac{7}{4}$$ 5. **Find the slope of line d:** Since line d is parallel to line c, it has the same slope: $$m_d = m_c = \frac{7}{4}$$ **Final answer:** The slope of line d is $\frac{7}{4}$.