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The family of curves represented by the equation y = mx + c, where m and c are c

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Question: The family of curves represented by the equation y = mx + c, where m and c are constants, is known as:

Options:

  1. Linear functions
  2. Quadratic functions
  3. Cubic functions
  4. Exponential functions

Correct Answer: Linear functions

Solution: 

The equation y = mx + c represents a straight line, which is a linear function.

The family of curves represented by the equation y = mx + c, where m and c are c

Practice Questions

Q1
The family of curves represented by the equation y = mx + c, where m and c are constants, is known as:
  1. Linear functions
  2. Quadratic functions
  3. Cubic functions
  4. Exponential functions

Questions & Step-by-Step Solutions

The family of curves represented by the equation y = mx + c, where m and c are constants, is known as:
  • Step 1: Understand the equation y = mx + c.
  • Step 2: Identify that 'm' represents the slope of the line.
  • Step 3: Recognize that 'c' represents the y-intercept, where the line crosses the y-axis.
  • Step 4: Realize that this equation describes a straight line on a graph.
  • Step 5: Conclude that the family of curves represented by this equation is known as linear functions.
  • Linear Functions – The equation y = mx + c represents a family of straight lines, where m is the slope and c is the y-intercept.
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