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 $(4,0)$ and $(9,9)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(4,0)$ and $(x_2,y_2)=(9,9)$. Then $m=\frac{9 - 0}{9 - 4}=\frac{9}{5}$.

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 $m = \frac{9}{5}$. Substitute into the equation: $0=\frac{9}{5}\times4 + b$. Then $b=-\frac{36}{5}$.

Step4: Write the equation in slope - intercept form

The equation is $y=\frac{9}{5}x-\frac{36}{5}$.

Answer:

$y=\frac{9}{5}x-\frac{36}{5}$