To find the equation of the trend line in slope-intercept form ($y = mx + b$), we will use the two yellow points marked on the scatter plot, as instructed.

Step 1: Identify the coordinates of the two points.

Looking at the image:

• The lower yellow point appears to be at $(3, 2)$.
• The upper yellow point seems to be at $(6, 9)$.

Step 2: Calculate the slope ($m$) of the trend line.

The formula for the slope is: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Using the points $(x_1, y_1) = (3, 2)$ and $(x_2, y_2) = (6, 9)$: $m = \frac{9 - 2}{6 - 3} = \frac{7}{3}$

Step 3: Use the slope-intercept form $y = mx + b$.

Now that we have the slope $m = \frac{7}{3}$, substitute one of the points into the equation to find $b$ (the y-intercept).

Using the point $(3, 2)$: $2 = \frac{7}{3}(3) + b$ $2 = 7 + b$ $b = 2 - 7 = -5$

Step 4: Write the final equation.

The equation of the trend line is: $y = \frac{7}{3}x - 5$

Let me know if you'd like further clarification or more details.

Here are some related questions:

1. How do you interpret the slope of a trend line?
2. What would the trend line look like if the slope was negative?
3. How would the equation change if the y-intercept was positive?
4. Can you predict data points using the trend line equation?
5. How would you find the trend line for a non-linear scatter plot?

Tip: The slope indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x).