what is the equation of the trend line in the scatter plot? use the two blue points to write the equation in…
what is the equation of the trend line in the scatter plot? use 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 ((0,1)) and ((9,8)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substitute (x_1 = 0,y_1 = 1,x_2 = 9,y_2 = 8) into the formula: (m=\frac{8 - 1}{9 - 0}=\frac{7}{9})
Step2: Find the y - intercept
The slope - intercept form is (y=mx + b). We know that when (x = 0), (y=1) (from the point ((0,1))). In the equation (y=mx + b), when (x = 0), (y=b). So (b = 1)
Step3: Write the equation
Substitute (m=\frac{7}{9}) and (b = 1) into (y=mx + b): (y=\frac{7}{9}x+1)
Answer:
(y=\frac{7}{9}x + 1)