1. **State the problem:** We need to find the equation of the line in slope-intercept form $y=mx+b$ that represents the relationship between hours spent writing ($x$) and total pages written ($y$).
2. **Identify points on the line:** From the graph description, the line passes through points $(0,0)$ and $(10,2)$.
3. **Calculate the slope $m$:**
$$m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{10 - 0} = \frac{2}{10} = \frac{1}{5}$$
4. **Find the y-intercept $b$:** Since the line passes through $(0,0)$, the y-intercept is $b=0$.
5. **Write the equation:**
$$y = \frac{1}{5}x + 0$$
6. **Final answer:**
$$y = \frac{1}{5}x$$
This means Stacy writes $\frac{1}{5}$ of a page per hour spent writing.
Line Equation C3Ef82
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.