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

Explanation:

Step1: Identify the two - blue points

The two blue points are $(5,0)$ and $(8,6)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(5,0)$ and $(x_2,y_2)=(8,6)$ into the formula: $m=\frac{6 - 0}{8 - 5}=\frac{6}{3}=2$.

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

The slope - intercept form is $y=mx + b$. We use the point $(5,0)$ and $m = 2$. Substitute into the equation: $0=2\times5 + b$. Then $0 = 10 + b$, and we solve for $b$: $b=-10$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form is $y=mx + b$. Substitute $m = 2$ and $b=-10$: $y = 2x-10$.

Answer:

$y = 2x-10$