Convert a linear equation from slope-intercept form (y = mx + b) to standard form (Ax + By = C).
Slope-Intercept Input
Standard Equation
x - 2y = -6
Standard Form (Ax + By = C)
Simplified linear representation where A, B, and C are typically integers.
A1
B-2
C-6
x - 2y = -6
About this calculator
What is Standard Form?
The standard form of a linear equation is Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero. Usually, A is preferred to be a non-negative integer, and all three are simplified to have no common factors.
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Pro Tips
To convert from y = mx + b, move the x term to the left side.
Multiply the entire equation by a common denominator to clear any fractions.
Ensure the coefficient of x (A) is positive for standard convention.
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Fun Facts
"Standard form is useful for finding intercepts quickly (Set x=0 to find y, and vice versa)."
"Calculators and solvers often use standard form for systems of equations."
"Vertical lines (x = k) are naturally in standard form where B = 0."
