Question

question 4 of 25
estimate the line of best fit using two points on the line.
a. $y=5x+20$
b. $y=8x+20$
c. $y=-5x+16$
d. $y=-8x+16$

Explanation:

Step1: Calculate slope (m)

Use points $(3,44)$ and $(5,60)$.
$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{60 - 44}{5 - 3} = \frac{16}{2} = 8$

Step2: Find y-intercept (b)

Substitute $m=8$, $x=3$, $y=44$ into $y=mx+b$.
$44 = 8(3) + b$
$44 = 24 + b$
$b = 44 - 24 = 20$

Step3: Form line equation

Combine $m=8$ and $b=20$.
$y = 8x + 20$

Answer:

B. $y = 8x + 20$