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

Explanation:

Step1: Find the y - intercept

The line of best - fit intersects the y - axis at the point (0, 10). So the y - intercept $b = 10$.

Step2: Find the slope

We can use two points on the line, say (0, 10) and (5, 11). The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{11 - 10}{5-0}=\frac{1}{5}$.

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