Y-Intercept Table: Y-intercept (b) by Slope (m)
Reference table of y-intercept (b) for Y-Intercept across a range of slope (m) values — exact, engine-computed figures you can read off at a glance.
Y-Intercept Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Y-intercept (b)
4.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Y-Intercept Calculator
The Y-Intercept Calculator works out your y-intercept (b) in an instant. Enter slope (m), x coordinate and y coordinate and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the slope (m).
- Enter the x coordinate.
- Enter the y coordinate.
- Read off your y-intercept (b) — the calculator updates automatically, with no button to press.
Formula
The Y-Intercept Calculator uses the formula:
Y-intercept (b) = y coordinate - Slope (m) × x coordinate
Worked example
For example, with slope (m) of 2, x coordinate of 3 and y coordinate of 10, the y-intercept (b) is 4.0000.
| Slope (m) | 2 |
|---|---|
| x coordinate | 3 |
| y coordinate | 10 |
| Y-intercept (b) | 4.0000 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Slope
- The steepness of a line, measured as the change in y divided by the change in x.
Frequently asked questions
Rearrange y = mx + b to b = y − mx. With slope 2 through (3, 10), the intercept is 10 − 6 = 4.
It is where a line crosses the y-axis, the value of y when x is zero.
No. One point and the slope are enough. With two points, first find the slope, then the intercept.
It is y = mx + b, where m is the slope and b is the y-intercept.
The Y-Intercept Calculator uses the formula: Y-intercept (b) = y coordinate - Slope (m) × x coordinate. For example, with slope (m) of 2, x coordinate of 3 and y coordinate of 10, the y-intercept (b) is 4.0000.
Enter the slope (m). Enter the x coordinate. Enter the y coordinate. Read off your y-intercept (b) — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Y-Intercept: Formula, Steps & Examples
Learn how to calculate Y-Intercept — the formula explained step by step, with worked examples and a free calculator to check your answer.