1. **State the problem:** We are given a table showing the number of songs (x) and the total cost (y) of a subscription. We need to find the slope $m$ of the line relating these variables and the y-intercept. 2. **Recall the formula for slope:** $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ This formula calculates the rate of change of cost per song. 3. **Choose two points from the table:** Point 1: $(10, 5.50)$ Point 2: $(15, 5.75)$ 4. **Calculate the slope:** $$m = \frac{5.75 - 5.50}{15 - 10} = \frac{0.25}{5} = 0.05$$ 5. **Find the y-intercept:** Use the equation of a line $y = mx + b$ and substitute one point and the slope to solve for $b$. Using point $(10, 5.50)$: $$5.50 = 0.05 \times 10 + b$$ $$5.50 = 0.5 + b$$ $$b = 5.50 - 0.5 = 5.00$$ 6. **Final answers:** Slope $m = 0.05$ Y-intercept $b = 5.00$ This means the cost starts at 5.00 when no songs are purchased and increases by 0.05 for each additional song.