Convert linear equations from standard form (Ax + By = C) to slope intercept form (y = mx + b) instantly with our free online calculator. Whether you're working on algebra homework, graphing linear functions, or studying coordinate geometry, our tool provides accurate conversions in seconds.
Convert Ax + By = C to y = mx + b format:
Enter coefficients for: Ax + By = C
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The standard form to slope intercept form conversion is essential for:
Simply enter the coefficients A, B, and C from your standard form equation, and we'll instantly convert it to slope intercept form. No registration required - completely free to use!
To convert from standard form (Ax + By = C) to slope intercept form (y = mx + b):
Note: If B = 0, the line is vertical and has an undefined slope.
Step-by-step conversion process
Standard form is written as Ax + By = C, while slope intercept form is y = mx + b. Standard form is useful for finding intercepts, while slope intercept form makes it easy to identify the slope and y-intercept directly.
Most linear equations can be converted, but vertical lines (where B = 0) cannot be written in slope intercept form because they have an undefined slope. For example, x = 5 is a vertical line that cannot be expressed as y = mx + b.
If B is negative, the conversion process remains the same. For example, 2x - 3y = 6 becomes y = (2/3)x - 2. The negative B simply affects the signs in the final slope intercept form.
You can verify your conversion by checking that both forms represent the same line. Pick any point that satisfies the original equation and verify it also satisfies the converted equation. Our calculator handles this verification automatically.
Fractions are perfectly normal and often unavoidable in slope intercept form. For example, 3x + 4y = 12 becomes y = -0.75x + 3. You can leave them as decimals or convert to fractions like y = (-3/4)x + 3.
Yes, you can convert back by rearranging the equation. For y = 2x + 3, you would subtract 2x from both sides to get -2x + y = 3, or multiply by -1 to get 2x - y = -3.
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