1. The problem is to identify lines of best fit from scatter plots with given approximate points. 2. A line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the points and the line. 3. The formula for a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 4. For the top-left graph, the line runs roughly from $(0, 3.5)$ to $(10, 10.5)$. Calculate slope: $$m = \frac{10.5 - 3.5}{10 - 0} = \frac{7}{10} = 0.7$$ Equation: $$y = 0.7x + 3.5$$ 5. For the top-right graph, the line runs roughly from $(3, 0)$ to $(5, 10.5)$. Calculate slope: $$m = \frac{10.5 - 0}{5 - 3} = \frac{10.5}{2} = 5.25$$ Equation: $$y = 5.25x + b$$ Find $b$ using point $(3,0)$: $$0 = 5.25(3) + b \Rightarrow b = -15.75$$ So, $$y = 5.25x - 15.75$$ 6. For the bottom-left graph, the line runs roughly from $(0, 2.2)$ to $(9.5, 10.5)$. Calculate slope: $$m = \frac{10.5 - 2.2}{9.5 - 0} = \frac{8.3}{9.5} \approx 0.874$$ Equation: $$y = 0.874x + 2.2$$ 7. For the bottom-right graph, the line runs roughly from $(0, 2.3)$ to $(10, 9.8)$. Calculate slope: $$m = \frac{9.8 - 2.3}{10 - 0} = \frac{7.5}{10} = 0.75$$ Equation: $$y = 0.75x + 2.3$$ These lines represent the best fit for each scatter plot based on the given points.