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

Explanation:

Step1: Find the slope (m)

The two yellow - points are ((2,1)) and ((7,8)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). So (m=\frac{8 - 1}{7 - 2}=\frac{7}{5}).

Step2: Find the y - intercept (b)

Use the slope - intercept form (y=mx + b) and one of the points, say ((2,1)). Substitute (x = 2), (y = 1) and (m=\frac{7}{5}) into (y=mx + b): (1=\frac{7}{5}\times2 + b). Then (1=\frac{14}{5}+b), and (b=1-\frac{14}{5}=\frac{5 - 14}{5}=-\frac{9}{5}).

Step3: Write the equation

The equation of the line in slope - intercept form is (y = mx + b), substituting (m=\frac{7}{5}) and (b =-\frac{9}{5}), we get (y=\frac{7}{5}x-\frac{9}{5}).

Answer:

(y=\frac{7}{5}x-\frac{9}{5})