select the correct answer. shane created a scatter plot and drew a line of best fit, as shown. what is the…

Explanation:

Step1: Find the y - intercept

The line of best - fit intersects the y - axis at approximately $y = 10$. So the y - intercept $b$ is 10.

Step2: Estimate the slope

Pick two points on the line, say $(0,10)$ and $(10,12)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{12 - 10}{10-0}=\frac{2}{10}=\frac{1}{5}$.

Step3: Write the equation of the line

The equation of a line in slope - intercept form is $y=mx + b$. Substituting $m=\frac{1}{5}$ and $b = 10$, we get $y=\frac{1}{5}x+10$.

Answer:

C. $y=\frac{1}{5}x + 10$