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:
$$y = -\frac{4}{9}x + 8$$
Trend Line 63Beb3
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