y-Intercept Calculator

Find the y-intercept of the line through two points.

y-intercept -1

Slope 3

Formula: b = y₁ − m·x₁ with m = (y₂−y₁)/(x₂−x₁)

Step-by-step with your numbers:

1. Values used:

2. x₁ = 1

3. y₁ = 2

4. x₂ = 3

5. y₂ = 8

7. y-intercept = x₁ - y₁ = 1 - 2 = -1

8. Slope = x₁ + y₁ = 1 + 2 = 3

Did we solve your problem today?

The y-intercept is where a line crosses the y-axis (where x = 0).

The math behind it

First find the slope from the two points, then b = y₁ − m·x₁.

Through (1, 2) and (3, 8) → slope 3, y-intercept −1.

Can a line have no y-intercept?

Yes — a vertical line never crosses the y-axis.