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 $(40,0)$ and $(90,90)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(x_1,y_1)=(40,0)$ and $(x_2,y_2)=(90,90)$ gives $m=\frac{90 - 0}{90 - 40}=\frac{90}{50}=\frac{9}{5}$.

Step3: Use the slope - intercept form $y=mx + b$ to find $b$

Substitute $m = \frac{9}{5}$, $x = 40$, and $y = 0$ into $y=mx + b$. We get $0=\frac{9}{5}\times40 + b$. Simplifying the right - hand side: $\frac{9}{5}\times40=72$, so $0 = 72 + b$, and $b=-72$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form $y = mx + b$ is $y=\frac{9}{5}x-72$.

Answer:

$y=\frac{9}{5}x - 72$