Respuesta :

Ashraf82

Answer:

The rate of change of line AB is 0.25

Step-by-step explanation:

  • The average rate of change is constant for a linear function.
  • The average rate of change of linear function y = m x + b is the value of m over any interval
  • The formula of m is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

∵ The coordinates of point A are (4 , 3)

∵ The coordinates of point B are (8 , 4)

∴ [tex]x_{1}[/tex] = 4 and [tex]x_{2}[/tex] = 8

∴ [tex]y_{1}[/tex] = 3 and [tex]y_{2}[/tex] = 4

- Substitute their value in the formula of the slope above

∵ [tex]m=\frac{4-3}{8-4}=\frac{1}{4}[/tex]

∵ [tex]\frac{1}{4}[/tex] = 0.25

∴ m = 4

- The rate of change of a line is the slope of the line

∴ The rate of change of line AB is 0.25

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