Subjects algebra

Tickets Cost C670Fc

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1. **State the problem:** We are given a table of points representing the number of tickets and their corresponding cost. We need to find the equation of the line in slope-intercept form $y=mx+b$ that fits this data. 2. **Identify points:** From the table, two points are $(8,7)$ and $(9,9)$. 3. **Calculate the slope $m$:** $$m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 7}{9 - 8} = \frac{2}{1} = 2$$ 4. **Use the slope-intercept form $y=mx+b$ and substitute one point to find $b$:** Using point $(8,7)$: $$7 = 2 \times 8 + b$$ $$7 = 16 + b$$ $$b = 7 - 16 = -9$$ 5. **Write the final equation:** $$y = 2x - 9$$ 6. **Verify with another point:** Using $(10,11)$: $$y = 2 \times 10 - 9 = 20 - 9 = 11$$ which matches the table. **Answer:** The equation in slope-intercept form is $y = 2x - 9$.