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 $(30,0)$ and $(80,70)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(30,0)$ and $(x_2,y_2)=(80,70)$ into it. $m=\frac{70 - 0}{80 - 30}=\frac{70}{50}=\frac{7}{5}$.

Step3: Find the $y$-intercept $b$

Use the slope - intercept form $y = mx + b$ and substitute one of the points, say $(30,0)$ and $m=\frac{7}{5}$ into it. $0=\frac{7}{5}\times30 + b$. Then $0 = 42 + b$, so $b=-42$.

Step4: Write the equation

The equation of the line in slope - intercept form is $y=\frac{7}{5}x-42$.

Answer:

$y=\frac{7}{5}x - 42$