Answer: The value of m = 10.
Step-by-step explanation:
Given points, (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)
Each point is represented in the form (x,y).
The line is in the form[tex]y=mx+b[/tex], where m is the rate of change of y with respect to x.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Take [tex]x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85[/tex]
Then,
[tex]m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10[/tex]
Hence, the value of m = 10.
