what is the equation of the trend line in the scatter plot?\nuse the two orange points to write the equation…

Explanation:

Step1: Find the slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let the two orange points be $(x_1,y_1)=(10,50)$ and $(x_2,y_2)=(60,70)$. $m=\frac{70 - 50}{60 - 10}=\frac{20}{50}=\frac{2}{5}$

Step2: Find the $y$-intercept ($b$)

Use the slope - intercept form $y = mx + b$ and substitute one of the points (say $(10,50)$) and $m=\frac{2}{5}$. $50=\frac{2}{5}(10)+b$ $50 = 4 + b$ $b=50 - 4=46$

Step3: Write the equation

Substitute $m=\frac{2}{5}$ and $b = 46$ into $y=mx + b$. $y=\frac{2}{5}x+46$

Answer:

$y=\frac{2}{5}x + 46$