Complete the statements below about the data by selecting the correct choice from each drop-down menu.
The initial value, or y-intercept, of the linear function is ______ and represents ______.
The rate of change is ______ and represents ______.
What is the rate of change and initial value of the linear function represented in this data?The initial value, or y-intercept, of the linear function is 8 and represents the starting point of the function. The rate of change is -3 and represents the decrease in the function for every unit increase in x.
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To complete the statements about a linear function, you typically refer to the function’s equation in the form (y = mx + b), where:
– (b) represents the y-intercept.
– (m) represents the rate of change (or slope).
So the completed statements would be:
The initial value, or y-intercept, of the linear function is b and represents the value of y when x is 0.
The rate of change is m and represents how much y changes for a one-unit change in x.
This framework helps you understand how changes in the input (x) affect the output (y) in a linear relationship. If you need further assistance, you can check the extended services page for more in-depth explanations!