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

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Question: If a linear equation is represented in the form Ax + By = C, what does \'C\' represent?

Options:

Correct Answer: The constant term

Solution:

\'C\' is the constant term in the equation, representing the value at which the line intersects the axes.

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

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.