what is the equation of the line of best fit that shane drew?\na. $y = 5x + 10$\nb. $y = 5x + 11$\nc…

Explanation:

Step1: Estimate slope

The line of best - fit has a relatively small positive slope. For a line in the form $y = mx + b$, where $m$ is the slope. Looking at the options, options A and B have a slope $m = 5$ which is a large positive slope. The line in the graph does not seem to have such a steep slope. Options C and D have a slope $m=\frac{1}{5}$ which is a small positive slope and is more in line with the graph.

Step2: Estimate y - intercept

The line of best - fit intersects the y - axis around $y = 10$. In the equation $y=mx + b$, $b$ is the y - intercept. Option C has $b = 10$ and option D has $b = 11$. Since the line appears to cross the y - axis near 10, the equation of the line of best - fit is likely $y=\frac{1}{5}x + 10$.

Answer:

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