Question

shane created a scatter plot and drew a line of best fit, as shown. what is the equation of the line of best fit that shane drew? a. y = 5x + 10 b. y = 5x + 11 c. y = x + 10 d. y = x + 11

Explanation:

Step1: Identify y - intercept

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

Step2: Estimate slope

The line rises about 1 unit for every 2 units it runs. So the slope $m=\frac{1}{2}$.
The equation of a line is $y = mx + b$. Substituting $m=\frac{1}{2}$ and $b = 10$ gives $y=\frac{1}{2}x+10$.

Answer:

C. $y=\frac{1}{2}x + 10$