what is the equation of the line of best fit that samir drew?\na. $y = -\frac{2}{3}x + 12$\nb. $y =…

what is the equation of the line of best fit that samir drew?\na. $y = -\frac{2}{3}x + 12$\nb. $y = -\frac{2}{3}x + 18$\nc. $y = -\frac{3}{2}x + 12$\nd. $y = -\frac{3}{2}x + 18$

what is the equation of the line of best fit that samir drew?\na. $y = -\frac{2}{3}x + 12$\nb. $y = -\frac{2}{3}x + 18$\nc. $y = -\frac{3}{2}x + 12$\nd. $y = -\frac{3}{2}x + 18$

Answer

Explanation:

Step1: Find the y - intercept

The line of best - fit intersects the y - axis at approximately $y = 12$. So the y - intercept $b = 12$.

Step2: Find the slope

Pick two points on the line, say $(0,12)$ and $(18,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 12}{18-0}=-\frac{12}{18}=-\frac{2}{3}$

Step3: Write the equation

The equation of a line is $y=mx + b$. Substituting $m =-\frac{2}{3}$ and $b = 12$, we get $y=-\frac{2}{3}x + 12$

Answer:

A. $y =-\frac{2}{3}x + 12$