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 = 1/5x + 10 d. y = 1/5x + 11

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Estimate y - intercept

The line of best fit appears to cross the y - axis around $y = 10$. So $b\approx10$.

Step3: Estimate slope

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

Answer:

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