📏 Slope Intercept Form Calculator
Convert between line equation forms
How to Use This Calculator
Enter Slope
Input the slope m of the line.
Enter Y-Intercept
Input the y-intercept b (where the line crosses the y-axis).
Calculate
Press "Calculate Line Equation" to get the slope-intercept form and standard form.
Formula
Slope-Intercept Form: y = mx + b
Standard Form: Ax + By = C
where m is slope, b is y-intercept
Example: m = 2, b = 3
Slope-Intercept: y = 2x + 3
Standard: -2x + y = 3
Y-intercept: (0, 3)
About Slope Intercept Form Calculator
The Slope Intercept Form Calculator works with slope-intercept form (y = mx + b) and converts it to other forms. Slope-intercept form is useful when you know the slope and y-intercept.
When to Use This Calculator
- Geometry: Work with slope-intercept form
- Mathematics: Convert between line equation forms
- Education: Learn line equation conversions
Frequently Asked Questions
What is slope-intercept form?
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. It's the most common form for linear equations.
What is the y-intercept?
The y-intercept (b) is the y-coordinate where the line crosses the y-axis (x = 0). In y = mx + b, b is the y-intercept, so the line crosses at (0, b).
How do I convert to standard form?
From y = mx + b, rearrange to -mx + y = b. Multiply by -1 if needed to make A positive: Ax + By = C where A, B, C are integers when possible.