amber created a scatter plot and drew a line of best fit, as shown.\nwhat is the equation of the line of…

Explanation:

Step1: Identify the y-intercept

The line of best fit crosses the y - axis at (0, 12), so the y - intercept (b = 12).

Step2: Calculate the slope

We can use two points on the line. Let's take (0, 12) and (10, 15) (we can see that when (x = 10), the line passes through (y=15)). The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substituting (x_1 = 0,y_1 = 12,x_2=10,y_2 = 15) into the formula: (m=\frac{15 - 12}{10 - 0}=\frac{3}{10}=0.3)

Step3: Write the equation of the line

The equation of a line in slope - intercept form is (y=mx + b), where (m) is the slope and (b) is the y - intercept. Substituting (m = 0.3) (or (\frac{3}{10})) and (b = 12) into the formula, we get (y = 0.3x+12) (or (y=\frac{3}{10}x + 12))

Answer:

(y = 0.3x+12) (or (y=\frac{3}{10}x + 12))