Find the point where two lines meet, or see when the lines are parallel or the same.
Last updated: June 2026 | By Patchworkr Team
Two non-parallel lines in a plane intersect at exactly one point. If the slopes are equal, the lines are either parallel or the same line, so there is no single intersection point.
For y = x and y = -x + 4, the lines intersect at (2, 2).
What does parallel mean?
Parallel lines have the same slope but different intercepts, so they never meet.
What if the lines are the same?
If both the slope and intercept match, the equations describe the same line and there are infinitely many intersection points.
Does the calculator accept decimals?
Yes. Any finite real slope or intercept is accepted, including scientific notation.
Can the intersection point be fractional?
Yes. The x and y coordinates are often decimals or fractions, so the panel rounds to a readable decimal form.
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