select the correct answer.\namber created a scatter plot and drew a line of best fit, as shown.\nwhat is the…

select the correct answer.\namber created a scatter plot and drew a line of best fit, as shown.\nwhat is the equation of the line of best fit that amber drew?\na. $y = 3x + 12$\nb. $y = 3x + 15$\nc. $y = \\frac{1}{3}x + 12$\nd. $y = \\frac{1}{3}x + 15$

select the correct answer.\namber created a scatter plot and drew a line of best fit, as shown.\nwhat is the equation of the line of best fit that amber drew?\na. $y = 3x + 12$\nb. $y = 3x + 15$\nc. $y = \\frac{1}{3}x + 12$\nd. $y = \\frac{1}{3}x + 15$

Answer

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $y=12$, so $b=12$.

Step2: Calculate slope $m$

Pick two points on the line, e.g., $(0,12)$ and $(15,17)$. $m=\frac{17-12}{15-0}=\frac{5}{15}=\frac{1}{3}$

Step3: Write line equation

Use slope-intercept form $y=mx+b$. $y=\frac{1}{3}x+12$

Answer:

C. $y = \frac{1}{3}x + 12$