Math

y-Intercept Calculator

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

Calculated Output

y-intercept -1

Slope 3

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

Step-by-Step Breakdown

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

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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.