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If a function f(x) is defined as f(x) = 2x + 5, what is the slope of the graph?

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Question: If a function f(x) is defined as f(x) = 2x + 5, what is the slope of the graph?

Options:

  1. 0
  2. 2
  3. 5
  4. Undefined

Correct Answer: 2

Solution: 

In the linear function f(x) = mx + b, \'m\' represents the slope. Here, m = 2.

If a function f(x) is defined as f(x) = 2x + 5, what is the slope of the graph?

Practice Questions

Q1
If a function f(x) is defined as f(x) = 2x + 5, what is the slope of the graph?
  1. 0
  2. 2
  3. 5
  4. Undefined

Questions & Step-by-Step Solutions

If a function f(x) is defined as f(x) = 2x + 5, what is the slope of the graph?
  • Step 1: Identify the function given, which is f(x) = 2x + 5.
  • Step 2: Recognize that this is a linear function in the form f(x) = mx + b.
  • Step 3: In this form, 'm' represents the slope of the graph.
  • Step 4: Look at the coefficient of 'x' in the function, which is 2.
  • Step 5: Conclude that the slope of the graph is 2.
  • Linear Functions – Understanding the standard form of a linear function, f(x) = mx + b, where m is the slope and b is the y-intercept.
  • Slope Interpretation – Identifying the slope from the function's equation and understanding its significance in graphing.
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