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 by the data?The initial value, or y-intercept, of the linear function is _____ and represents _____.The rate of change is _____ and represents _____.
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To complete the statements about a linear function, let’s break it down:
1. Initial value or y-intercept: This is the value of the function when x = 0. It indicates where the line crosses the y-axis. So, you would fill in the first blank with the specific y-value (let’s say “a”) and the second blank with what it represents (like “the starting value of y when x is 0”).
2. Rate of change: This refers to the slope of the linear function. It shows how much y changes for a one-unit increase in x. You would enter the numerical value for the rate of change (let’s say “b”) in the third blank and define it in the fourth blank (for instance, “the amount y increases or decreases as x increases”).
So, if we assume “a” is the y-intercept and “b” is the slope, your complete statements might look like this:
– The initial value, or y-intercept, of the linear function is a and represents the starting value of y when x is 0.
– The rate of change is b and represents the amount y increases or decreases as x increases.
Feel free to ask if you have any more questions or need further clarification!