minnieandrews98 minnieandrews98
  • 02-03-2024
  • Mathematics
contestada

On a coordinate plane, a line goes through points (1, negative 1) and (2, 4).
This graph displays a linear function. What is the rate of change?

Respuesta :

karmenchong karmenchong
  • 02-03-2024

Answer:

Rate of change = 5

Step-by-step explanation:

Rate of Change of a Function means the change in y-value per 1 unit of x-value, it is also called Slope for linear function. Rate of change for point (x₁, y₁) and point (x₂, y₂) can be formulated:

[tex]\boxed{rate\ of\ change=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} }[/tex]

Given:

x₁ = 1

y₁ = -1

x₂ = 2

y₂ = 4

[tex]\displaystyle rate\ of\ change=\frac{4-(-1)}{2-1}[/tex]

                        [tex]=5[/tex]

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