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question
what is the rate of change of the function $y = 3x + 3$?
Step1: Recall slope-intercept form
The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the y - intercept.
Step2: Identify \(m\) in the given equation
For the function \(y=3x + 3\), comparing it with \(y=mx + b\), we can see that \(m = 3\). The rate of change of a linear function (in the form \(y=mx + b\)) is equal to the slope \(m\).
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The rate of change of the function \(y = 3x+3\) is \(3\).