Question

estimate the line of best fit using two points on the line.
a. $y=-4x+80$
b. $y=8x+80$
c. $y=-8x+80$
d. $y=4x+80$

Explanation:

Step1: Calculate the slope

Use points $(2, 84)$ and $(8, 32)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$

$$\begin{align*} m&=\frac{32-84}{8-2}\\ &=\frac{-52}{6}\approx -8 \end{align*}$$

Step2: Find y-intercept $b$

Use $y=mx+b$, substitute $m=-8$ and $(2,84)$
$84 = -8(2) + b$
$84 = -16 + b$
$b=84+16=80$

Step3: Form the line equation

Substitute $m=-8$ and $b=80$ into $y=mx+b$
$y=-8x+80$

Answer:

C. $y = -8x + 80$