Enter any linear equation in standard form (Ax + By = C) to instantly find where the line crosses each axis — with full step-by-step algebraic work and a graph.
X-intercept: set y = 0 → solve for x
Y-intercept: set x = 0 → solve for y
The x-intercept is the point where a line crosses the x-axis. At that point, y = 0, so you substitute 0 for y and solve for x. The result is always written as an ordered pair: (x, 0).
The y-intercept is where the line crosses the y-axis. At that point, x = 0, so you substitute 0 for x and solve for y. Written as: (0, y).
For a standard-form equation Ax + By = C: x-intercept = C/A and y-intercept = C/B. Special cases: if A = 0, the line is horizontal and has no x-intercept (unless C = 0); if B = 0, the line is vertical and has no y-intercept.
You only need two points to draw a straight line — and the intercepts are the easiest two points to find. This strategy is called the intercept method.
A live session can lock in intercepts, slope, and every other linear equations topic so they stick for the test.