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

what is the equation of the trend line in the scatter plot?\nuse the two blue points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

what is the equation of the trend line in the scatter plot?\nuse the two blue points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Answer

Explanation:

Step1: Find the slope

The two blue points are ((5,0)) and ((8,6)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substitute (x_1 = 5,y_1=0,x_2 = 8,y_2 = 6) into the formula: (m=\frac{6-0}{8 - 5}=\frac{6}{3}=2)

Step2: Find the y - intercept

Use the slope - intercept form (y=mx + b). We know (m = 2) and the point ((5,0)) (we can also use ((8,6))). Substitute (x = 5,y = 0,m=2) into (y=mx + b): (0=2\times5+b) (0 = 10 + b) Solve for (b): (b=- 10)

Step3: Write the equation

Substitute (m = 2) and (b=-10) into (y=mx + b) (y = 2x-10)

Answer:

(y = 2x-10)