# y Intercept Calculator

URL: https://speedycalculator.com/calculators/math/y-intercept/
Last updated: 2026-10-30

> The y intercept calculator finds where a line crosses the y-axis (and the x-axis) from its general form ax + by + c = 0, its slope-intercept form, its two intercepts or two points.

## Inputs

- My line is given as
- a
- b
- c
- Slope m
- Intercept c
- x₁
- y₁
- x₂
- y₂

## Results

- y-intercept
- x-intercept
- Slope

## Formula

```
General: y-intercept = −c/b, x-intercept = −c/a, slope = −a/b
Two points: m = (y₂ − y₁)/(x₂ − x₁), y-intercept = y₁ − m·x₁
```

## Explanation

The y-intercept is the value of y when x = 0 – the starting value of a linear model, such as a fixed fee before any usage is charged.

### How to use the y Intercept Calculator

- **My line is given as**
- **a**
- **b**
- **c**
- **Slope m**
- **Intercept c**
- **x₁**
- **y₁**
- **x₂**
- **y₂**

Results update as you type, and everything is calculated in your browser.

### How it works

Choose how your line is given. The y-intercept is found by setting x = 0 in its equation.

### Inputs explained

FieldWhat to enterMy line is given asChoose one: ax + by + c = 0, y = mx + c, Two pointsaA numberbA numbercA numberSlope mA numberIntercept cA numberx₁A numbery₁A numberx₂A numbery₂A number

### Example values

How the main result changes when **a** changes and everything else stays at the example values above:

ay-intercept121.52222.523242

## Worked example

Inputs — My line is given as: ax + by + c = 0; a: 2; b: -4; c: 8.

Results — **y-intercept = 2**; x-intercept = -4; Slope = 0.5.

## Key terms

- **Intercept**: A point where a graph crosses an axis.

## FAQ

**What is the y-intercept of 2x − 4y + 8 = 0?**
2 (set x = 0: −4y + 8 = 0).

**Can a line have no y-intercept?**
A vertical line other than x = 0 never crosses the y-axis.

**What is the x-intercept?**
Where the line crosses the x-axis (y = 0).

**How do I find the intercept of y = 3x − 5?**
It is −5, the constant term.


## Sources

- [OpenStax – College Algebra 2e](https://openstax.org/details/books/college-algebra-2e)
- [OpenStax – Precalculus 2e](https://openstax.org/details/books/precalculus-2e)