Coordinate geometry
Coordinate geometry calculators
The coordinate plane: the line through two points, the distance between two points and the midpoint of a segment, with everything the exercise asks for next.
Which calculation you need
Coordinate geometry turns figures into equations, and almost everything starts from two points. If you need the equation of the line joining them — in slope-intercept form y = mx + q or standard form ax + by + c = 0 — together with the slope, the intercepts and the perpendicular slope, the first calculator does it all in one step, including the vertical case, which has no slope and must be written differently. If instead the segment itself is what interests you, the second calculator gives its length and midpoint, plus the components of the vector from one point to the other: these are the figures behind translations, reflections and every triangle problem set in coordinates.
Line through two points
Equation in slope-intercept and standard form, slope, intercepts and angle of inclination.
Distance and midpoint
Length of the segment, coordinates of the midpoint, vector components and reflected point.
Conic sections
Identifies the conic from its general equation and finds centre, foci, axes, eccentricity, asymptotes and canonical form.