Subjects algebra

Line Equation C3Ef82

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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.