📐 Standard Form to Slope Intercept Form Calculator

Convert Ax + By = C to y = mx + b

Standard Form: Ax + By = C

How to Use This Calculator

1

Enter Standard Form Coefficients

Input coefficients A, B, and C for the equation Ax + By = C. B cannot be zero.

2

Convert

Press "Convert to Slope-Intercept Form" to get the equation in y = mx + b form.

Formula

From Ax + By = C:

y = (-A/B)x + (C/B)

m = -A/B, b = C/B

Example: 2x + 3y = 6

m = -2/3, b = 6/3 = 2

Slope-Intercept: y = -2/3 x + 2

About Standard Form to Slope Intercept Form Calculator

The Standard Form to Slope Intercept Form Calculator converts line equations from standard form (Ax + By = C) to slope-intercept form (y = mx + b).

When to Use This Calculator

  • Algebra: Convert between line equation forms
  • Mathematics: Work with different line representations
  • Education: Learn equation conversions

Frequently Asked Questions

How do I convert standard form to slope-intercept form?

Solve Ax + By = C for y: y = (-A/B)x + (C/B). So slope m = -A/B and y-intercept b = C/B. B cannot be zero.

What if B is zero?

If B = 0, the line is vertical (undefined slope). The equation is x = C/A (vertical line). This calculator cannot convert vertical lines.