Question

(1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27) The line is in the form y=mx+b. What is the value of m?

Answer 1

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$y=mx+b$, where m is the rate of change of y with respect to x.

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Take $x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85$

Then,

$m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10$

Hence, the value of m = 10.