Respuesta :

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) ,

(2 , 34) is 8

Step-by-step explanation:

You can find the slope of a line from any two points lie on it

  • The formula of the slope is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
  • [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points lie on it

∵ A line contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34)

- To find the slope of the line chose any to points

∵ Points (0 , 18) and (1 , 26) lie on the line

∴ [tex]x_{1}[/tex] = 0 and [tex]x_{2}[/tex] = 1

∴ [tex]y_{1}[/tex] = 18 and [tex]y_{2}[/tex] = 26

- Substitute these values in the formula of the slope above

∵ [tex]m=\frac{26-18}{1-0}[/tex]

∴ [tex]m=\frac{8}{1}[/tex]

∴ m = 8

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34) is 8

Learn more:

You can learn more about the slope of a line in brainly.com/question/12954015

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