The slope of the best fit for the 3 given points is 500, so the correct option is b.
Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:
[tex]s = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.
The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)
Then the 3 slopes are:
[tex]s_1 = \frac{4,200 - 2,750}{6 - 3} = 483.3\\\\s_2 = \frac{5,750 - 2,750}{9 - 3} = 500\\\\s_3 = \frac{5,750 - 4,200}{9 - 6} = 516.7[/tex]
The average slope is:
[tex]S = (483.3 + 500 + 516.7)/3 = 500[/tex]
So the correct option is b.
If you want to learn more about slopes:
https://brainly.com/question/1884491
#SPJ1
