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Multiple Choice
Given a linear graph with the equation y = 3x + 2, what is the slope of the line?
A
2
B
1
C
-3
D
3
Verified step by step guidance
1
Identify the general form of a linear equation, which is \(y = mx + b\), where \(m\) represents the slope and \(b\) represents the y-intercept.
Compare the given equation \(y = 3x + 2\) to the general form to determine the values of \(m\) and \(b\).
Recognize that the coefficient of \(x\) in the equation, which is 3, corresponds to the slope \(m\).
Understand that the slope indicates the rate of change of \(y\) with respect to \(x\), meaning for every 1 unit increase in \(x\), \(y\) increases by 3 units.
Conclude that the slope of the line given by the equation \(y = 3x + 2\) is 3.