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 $y = 2x - 9$.
Tickets Cost C670Fc
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