Find the x-intercept and y-intercept of a linear equation and display the crossing points on each axis.
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Standard form: Ax + By = C
(4, 0)
X-intercept
(0, 2)
Y-intercept
-0.5
Slope (m)
y = -0.5x + 2
Slope-intercept form
x + 2y = 4
Standard form
Also in Functions
Algebra
The x-y intercept calculator finds where a linear equation crosses the x-axis and y-axis. Enter the equation coefficients to get both intercepts and their coordinates.
The y-intercept is the point where the line crosses the y-axis, found by setting x = 0 and solving for y. The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.
For the equation Ax + By = C: the y-intercept is (0, C/B) and the x-intercept is (C/A, 0), provided the relevant coefficient is not zero.
y-intercept: (0, C/B)
Set x = 0 in Ax + By = C.
x-intercept: (C/A, 0)
Set y = 0 in Ax + By = C.
A horizontal line (B coefficient only) has a y-intercept but no x-intercept unless the line is y = 0. A vertical line (A coefficient only) has an x-intercept but no y-intercept unless the line is x = 0. Lines through the origin have both intercepts at (0, 0).
Frequently asked questions
Yes. A horizontal line like y = 5 never crosses the x-axis, so it has no x-intercept.
A non-horizontal, non-vertical line always has exactly one x-intercept and one y-intercept. Horizontal lines have only a y-intercept, and vertical lines have only an x-intercept.
Lines passing through the origin, like y = 2x, have both their x-intercept and y-intercept at (0, 0).
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