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

The two yellow points are $(4,0)$ and $(8,7)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(4,0)$ and $(x_2,y_2)=(8,7)$ into the formula: $m=\frac{7 - 0}{8 - 4}=\frac{7}{4}$.

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

The slope - intercept form is $y=mx + b$. We use the point $(4,0)$ and $m = \frac{7}{4}$. Substitute into the equation: $0=\frac{7}{4}\times4 + b$. Simplify the right - hand side: $0 = 7 + b$. Solve for $b$: $b=-7$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form is $y=\frac{7}{4}x-7$.

Answer:

$y=\frac{7}{4}x - 7$