X and Y Intercept Calculator

Find the x-intercept and y-intercept of a linear equation. Enter two points or a linear equation in the form ax + by = c.

Enter values to find the intercepts.

Intercept Formulas

For y = mx + b:
Y-intercept: (0, b) — set x = 0
X-intercept: (−b/m, 0) — set y = 0

How to Find Intercepts

  1. Y-intercept: Set x = 0 and solve for y.
  2. X-intercept: Set y = 0 and solve for x.
Example: 2x + 3y = 6
Y-intercept: 2(0) + 3y = 6 → y = 2 → (0, 2)
X-intercept: 2x + 3(0) = 6 → x = 3 → (3, 0)

FAQ

What if the line is vertical?

A vertical line (e.g., x = 5) has an x-intercept at (5, 0) but no y-intercept (it never crosses the y-axis, unless x = 0).

Can a line have more than one x-intercept?

A straight line can have at most one x-intercept. If the line lies along the x-axis (y = 0), every point is an x-intercept.

Last updated: 2026-08-08