Standard Form to Slope Intercept Form Calculator

Convert Ax + By = C into y = mx + b.

Slope m -0.6667

y-intercept b 2

Formula: m = −A/B, b = C/B

Step-by-step with your numbers:

1. Values used:

2. A = 2

3. B = 3

4. C = 6

6. Slope m = -0.6667

7. y-intercept b = 2

Did we solve your problem today?

Rewrite a line from standard form Ax + By = C into the friendlier slope-intercept form.

The math behind it

Solve for y: By = C − Ax, so y = (−A/B)x + (C/B). Thus m = −A/B and b = C/B.

2x + 3y = 6 → y = −⅔x + 2.

What if B = 0?

The line is vertical (x = C/A) and has no slope-intercept form.