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If a line has an equation of the form y = mx + c, what does 'c' represent? (2023

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Question: If a line has an equation of the form y = mx + c, what does \'c\' represent? (2023)

Options:

  1. Slope
  2. Y-intercept
  3. X-intercept
  4. None of the above

Correct Answer: Y-intercept

Exam Year: 2023

Solution: 

\'c\' represents the y-intercept of the line, which is the point where the line crosses the y-axis.

If a line has an equation of the form y = mx + c, what does 'c' represent? (2023

Practice Questions

Q1
If a line has an equation of the form y = mx + c, what does 'c' represent? (2023)
  1. Slope
  2. Y-intercept
  3. X-intercept
  4. None of the above

Questions & Step-by-Step Solutions

If a line has an equation of the form y = mx + c, what does 'c' represent? (2023)
  • Step 1: Understand the equation of a line, which is y = mx + c.
  • Step 2: Identify the parts of the equation: 'm' is the slope and 'c' is a constant.
  • Step 3: Recognize that the y-axis is the vertical line where x = 0.
  • Step 4: The value of 'c' tells us the y-coordinate where the line crosses the y-axis.
  • Step 5: Therefore, 'c' is called the y-intercept.
  • Line Equation – The equation of a line in slope-intercept form, y = mx + c, where 'm' is the slope and 'c' is the y-intercept.
  • Y-Intercept – 'c' specifically represents the y-coordinate where the line intersects the y-axis.
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