Standard Form Calculator — Convert Linear Equation Forms (Free)
Use this free standard form calculator to convert a linear equation between forms. Start from slope-intercept (y = mx + b) or standard form (Ax + By = C) and the tool gives you the other form, the slope, the intercepts, and the algebra in between.
How to use the calculator
- Choose which form you’re starting from.
- Enter the coefficients.
- Read the converted equation, the slope, and the intercepts.
The two forms
Slope-intercept form, y = mx + b, shows the slope and y-intercept directly. Standard form, Ax + By = C with integer A, B, C, is handy for finding intercepts and for systems of equations. The calculator clears fractions to give a tidy standard form.
Frequently asked questions
How do you convert slope-intercept to standard form?
Move the x-term to the left and clear any fractions so the equation reads Ax + By = C with whole-number coefficients. y = 2x + 3 becomes 2x − y = −3.
How do you find the slope from standard form?
For Ax + By = C, the slope is m = −A/B and the y-intercept is C/B.
What about vertical and horizontal lines?
If B = 0 the line is vertical (x = C/A); if A = 0 it’s horizontal (y = C/B). The tool handles both.
Read the full lesson: learn the method step by step.
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