what is the equation of the trend line in the scatter plot? use the two yellow points to write the equation…

Explanation:

Step1: Identify the two - point coordinates

Let the two yellow points be $(x_1,y_1)=(5,3)$ and $(x_2,y_2)=(9,7)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{7 - 3}{9 - 5}=\frac{4}{4}=1$.

Step3: Use the point - slope form to find the $y$-intercept $b$

The slope - intercept form is $y=mx + b$. Use the point $(5,3)$ and $m = 1$. Substitute into the equation: $3=1\times5 + b$. Solve for $b$: $b=3 - 5=-2$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form is $y=mx + b$. Substitute $m = 1$ and $b=-2$. So $y=x - 2$.

Answer:

$y=x - 2$