Respuesta :

Answer:

- 2/3

Step-by-step explanation:

Slope m = (y2-y1) / (x2-x1)

= (12-8) / (4-10)

= 4 / (-6)

= - 2/3

The slope as a simplified fraction is : - [tex]\frac{-2}{3}[/tex]

Meaning of slope

Slope or gradient is the degree of steepness of a line.It is the ratio of the chance in the y- coordinates to the change in the x-coordinates of a line.

m( slope) = [tex]\frac{y2-y1}{x2-x1}[/tex]

Given data

x1 = 10, x2 = 4, y1 = 8, y2 = 12

Therefore the slope can be calculated as :

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{12-8}{4-10}[/tex] = -4/6 = -2/3

In conclusion the slope of the points (10,8) and (4,12) as a simplified fraction is -2/3

learn more about slope : https://brainly.com/question/3493733

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