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Determine the initial value and the rate of change of the linear function as given in the graph. (1 point) Responses The initial value is −2 , and the rate of change is 23 . The initial value is negative 2 , and the rate of change is Start Fraction 2 over 3 End Fraction . The initial value is 23 , and the rate of change is −23 . The initial value is Start Fraction 2 over 3 End Fraction , and the rate of change is negative Start Fraction 2 over 3 End Fraction . The initial value is −23 , and the rate of change is 23 . The initial value is negative Start Fraction 2 over 3 End Fraction , and the rate of change is Start Fraction 2 over 3 End Fraction . The initial value is 16 , and the rate of change is 32 . The initial value is Start Fraction 1 over 6 End Fraction , and the rate of change is Start Fraction 3 over 2 End Fraction .

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To determine the initial value and the rate of change of a linear function from a graph, we typically look for the following:

  1. Initial Value: This is the value of the function when \(x = 0\), often represented as the \(y\)-intercept.
  2. Rate of Change: This corresponds to the slope of the line, calculated as the change in \(y\) divided by the change in \(x\) (rise over run).

If you can provide a description of the graph or the coordinates of two points on the line, I can assist you better in determining the initial value and the rate of change. Please share that information!