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

Explanation:

Step1: Identify the two yellow points

The two yellow points are at ((0, 9)) and ((8, 2)).

Step2: Calculate the slope ((m))

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substituting the points ((x_1,y_1)=(0,9)) and ((x_2,y_2)=(8,2)), we get (m=\frac{2 - 9}{8 - 0}=\frac{-7}{8}).

Step3: Determine the y - intercept ((b))

The slope - intercept form of a line is (y = mx + b). We know that when (x = 0), (y=b). From the point ((0,9)), we can see that (b = 9).

Step4: Write the equation

Substitute (m=-\frac{7}{8}) and (b = 9) into the slope - intercept form (y=mx + b). So the equation is (y=-\frac{7}{8}x + 9).

Answer:

(y = -\frac{7}{8}x+9)