Coordinate Geometry Toolkit

The x-coordinate of the first point. The tool measures distance, midpoint, slope and the line equation between the two points.

The y-coordinate of the first point.

The x-coordinate of the second point. If it equals x₁ the line through the points is vertical and the slope is undefined.

The y-coordinate of the second point.

The coefficient of x in the line equation. Note the form differs by mode: ax + by + c = 0 for the point-to-line distance, but ax + by = c for the intersection of two lines.

The coefficient of y in the line equation. a and b must not both be zero — the pair (a, b) is a normal vector of the line.

The constant of the line equation: the c in ax + by + c = 0 (point-line mode) or the right-hand side of ax + by = c (intersection mode).

The x-coordinate of the point whose perpendicular distance to the line is measured.

The y-coordinate of that point. The result is the shortest (perpendicular) distance to the line.

The coefficient of x of the second line, written as ax + by = c just like the first one.

The coefficient of y of the second line. If the two lines have proportional coefficients they are parallel and no single intersection exists.

The right-hand side of the second line’s equation ax + by = c.

Three points, one x, y pair per line. Exactly one circle passes through them, unless they lie on a straight line — then no circle exists.