Question

brianna created a scatter plot and drew a line of best fit, as shown. what is the equation of the line of best fit that brianna drew? a. $y=\frac{1}{2}x + 5$ b. $y=\frac{1}{2}x + 7$ c. $y = 2x+5$ d. $y = 2x + 7$

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: Find the y - intercept

The line crosses the y - axis at $y = 5$, so $b = 5$.

Step3: Estimate the slope

Pick two points on the line, say $(0,5)$ and $(2,9)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{9 - 5}{2-0}=\frac{4}{2}=2$.

Answer:

C. $y = 2x + 5$