Slope-Intercept to Standard Form Converter
Convert linear equations in either direction using exact coefficients. Zero and sign handling is shown explicitly; coefficients are not reduced to smallest integers.
Result:
Steps:
A QUICK WALKTHROUGH
How to use this tool
- Choose a conversion direction.
- Enter A, B, C or m, b as applicable.
- Review the converted equation and algebra steps.
Formulas
Slope-intercept to standard: y = mx + b becomes mx − y = −b. Standard to slope-intercept: Ax + By = C becomes y = −A/B x + C/B when B ≠ 0.
Zero and signs
A coefficient of zero is retained in the displayed algebra. B = 0 describes a vertical line x = C/A and has no slope-intercept form. Results use the entered numeric coefficients without forced integer simplification.
GOOD TO KNOW
Common questions
Why can B not be zero in slope-intercept conversion?
B = 0 is a vertical line, whose slope is undefined and cannot be written as y = mx + b.
Does it reduce to whole numbers?
No. It preserves computed coefficients so the algebra remains transparent.