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Linear Equation To Standard Form Calculator

Standard Form of Linear Equation:

\[ Ax + By = C \]

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1. What is Standard Form of Linear Equation?

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers (usually), A should be positive, and A, B, and C should have no common factors other than 1.

2. How Does This Calculator Work?

The calculator takes your input coefficients and formats them into the standard form:

\[ Ax + By = C \]

Where:

Note: The calculator will detect if you've entered a quadratic equation (with x² term) and alert you.

3. Importance of Standard Form

Details: Standard form is useful for quickly finding x- and y-intercepts and is the preferred form for many linear algebra applications.

4. Using the Calculator

Tips: Enter the coefficients of your linear equation. The calculator will automatically format it into standard form. For quadratic equations, use a specialized quadratic calculator.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter fractions or decimals?
A: Yes, the calculator accepts decimal inputs. For exact fractions, you may need to convert to decimals first.

Q2: What if my equation is in slope-intercept form?
A: Rearrange terms to match Ax + By = C format before entering coefficients.

Q3: Does the calculator simplify the equation?
A: This basic version displays exactly what you enter. For simplification, you would need to divide all terms by the greatest common divisor.

Q4: What if A is negative?
A: The calculator will display as entered. Standard form typically prefers positive A, so you may need to multiply all terms by -1.

Q5: Can I graph the equation from this form?
A: Yes, standard form is excellent for graphing as you can easily find both x- and y-intercepts.

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