MathFormaAnalytic Geometry in the Plane
Study equations of lines in the coordinate plane, including slopes, intersections, distances, and angle bisectors.
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BASIC DEFINITIONS
Basic Definitions
The core formulas for straight lines in the coordinate plane — the tools used throughout the problems below.
1Problem 1 · General Equation of a LineFind the general equation of the line through two given points.Start →2Problem 2 · Perpendicular from a Point to a LineDrop the perpendicular AD from a point onto a line using the slope condition.3Problem 3 · Bisectors of the Angles Between Two LinesReconstruct the perpendicular AD, then bisect the angles it makes with BC.4Problem 4 · Lines Equidistant from Two PointsFind both lines through a point that are equally distant from two other points.5Problem 5 · Angle Between Two Equidistant LinesFind both lines through a point equidistant from two others, then the angle between them.