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

Explanation:

Step1: Identify the two - point coordinates

Let the two yellow points be $(x_1,y_1)$ and $(x_2,y_2)$. Suppose the first yellow point is $(2,1)$ and the second yellow point is $(7,8)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 2,y_1=1,x_2 = 7,y_2 = 8$ into the formula: $m=\frac{8 - 1}{7 - 2}=\frac{7}{5}$.

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

The slope - intercept form of a line is $y=mx + b$. Use the point $(2,1)$ and $m=\frac{7}{5}$. Substitute into the equation: $1=\frac{7}{5}\times2 + b$. Then $1=\frac{14}{5}+b$. Solve for $b$: $b=1-\frac{14}{5}=\frac{5 - 14}{5}=-\frac{9}{5}$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form is $y=\frac{7}{5}x-\frac{9}{5}$.

Answer:

$y=\frac{7}{5}x-\frac{9}{5}$