If a linear equation is represented in the form Ax + By = C, what does 'C' repre

Practice Questions

Q1
If a linear equation is represented in the form Ax + By = C, what does 'C' represent?
  1. The slope of the line
  2. The y-intercept
  3. The x-intercept
  4. The constant term

Questions & Step-by-Step Solutions

If a linear equation is represented in the form Ax + By = C, what does 'C' represent?
  • Step 1: Understand that a linear equation can be written in the form Ax + By = C.
  • Step 2: Identify the parts of the equation: A is the coefficient of x, B is the coefficient of y, and C is a constant.
  • Step 3: Recognize that 'C' is a fixed number that does not change.
  • Step 4: Know that 'C' helps determine where the line represented by the equation crosses the axes on a graph.
  • Step 5: When 'C' is equal to 0, the line passes through the origin (0,0).
  • Step 6: If 'C' is positive, the line will intersect the axes at positive values, and if 'C' is negative, it will intersect at negative values.
  • Linear Equation Representation – Understanding the standard form of a linear equation and the role of each component (A, B, C).
  • Intercepts – Recognizing how 'C' relates to the y-intercept of the line when x = 0.
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