To find the equation of the trend line, we will use the two yellow points highlighted in the scatter plot. Here are the steps:

Step 1: Identify the coordinates of the two points

From the graph:

• The first yellow point is $(2, 2)$.
• The second yellow point is $(6, 6)$.

Step 2: Calculate the slope ($m$)

The slope is calculated using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substituting the coordinates $(x_1, y_1) = (2, 2)$ and $(x_2, y_2) = (6, 6)$: $m = \frac{6 - 2}{6 - 2} = \frac{4}{4} = 1$ So, the slope is $m = 1$.

Step 3: Use the slope-intercept form

The slope-intercept form of a line is: $y = mx + b$ We already know $m = 1$. To find $b$ (the y-intercept), substitute one of the points into the equation. Using the point $(2, 2)$: $2 = 1(2) + b$ $2 = 2 + b$ $b = 0$

Step 4: Write the equation

The equation of the trend line is: $y = x$

Would you like further clarification or an explanation? Let me know if you have additional questions!

Related Questions:

1. How do you calculate the slope if the points are fractions or decimals?
2. Can a trend line have a negative slope? If so, what does it indicate?
3. What does the slope of a trend line represent in a scatter plot?
4. How do you find the equation of a line when given the slope and y-intercept?
5. How can you verify if a point lies on the trend line?

Tip:

Always double-check the coordinates of your points directly from the graph to ensure accuracy in calculations!