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Slope-Intercept to Standard Form Converter
Convert a linear equation between slope-intercept form (y = mx + b) and standard form (Ax + By = C) instantly, with the conversion steps shown so you can follow the algebra.
🔒 This tool runs entirely in your browser. Your files are never uploaded to a server.
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Example shown — enter your own equation's coefficients.
How it works
- Choose the direction you're converting: standard to slope-intercept, or slope-intercept to standard.
- Enter the coefficients for your starting equation.
- The converted equation appears instantly, with the algebra steps shown underneath so you can follow along.
FAQ
What's the difference between the two forms?
Slope-intercept form (y = mx + b) makes the slope and y-intercept immediately visible, which is handy for graphing. Standard form (Ax + By = C) is often preferred for systems of equations and finding x- and y-intercepts by inspection.
Why does B need to be nonzero when converting to slope-intercept?
If B is zero, the equation is a vertical line (like x = 4), which has an undefined slope and can't be written as y = mx + b at all — vertical lines are a special case slope-intercept form can't represent.
Does it simplify to whole-number coefficients?
No — it keeps the coefficients as computed rather than scaling to the smallest integer form, since that scaling choice depends on convention. The math is shown step by step so you can simplify further if your instructor requires whole numbers.
Converter vs. doing the algebra by hand
| Feature | This converter | Doing it by hand |
|---|---|---|
| Instant, error-free result | ✓ | ✗ |
| Builds your own algebra skill for a test | ✗ | ✓ |
Use it to check your own work — the step-by-step breakdown doubles as a quick refresher on the method.