Subjects algebra

Trend Line 63Beb3

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1. The problem asks for the equation of the trend line passing through two points on a scatter plot. 2. The two yellow points given are approximately $(0,8)$ and $(9,4)$. 3. The formula for the slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is: $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ 4. Substitute the points: $$m=\frac{4 - 8}{9 - 0} = \frac{-4}{9}$$ 5. The slope-intercept form of a line is: $$y = mx + b$$ where $b$ is the y-intercept. 6. Since one point is $(0,8)$, the y-intercept $b=8$. 7. Substitute $m$ and $b$ into the equation: $$y = -\frac{4}{9}x + 8$$ 8. This is the equation of the trend line in slope-intercept form. Final answer: $$y = -\frac{4}{9}x + 8$$