Coordinate Geometry
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Introduction

    This page will inform you about coordinate geometry formulas. There are many formulas that involve coordinates, but the following four sections are fundamental to coordinate geometry. Here are the sections within this page.




    The distance between the coordinates (x1, y1) and (x2,y2) can be obtained by using this formula.

Distance Formula

    Sometimes this distance is referred to as a length.

    ideo: Distance Formula
    uiz: Distance Formula


    The middle of a segment has a special name. It is called the midpoint. The midpoint of a segment separates a segment into two congruent segments that are each half the length of the segment. This is the formula for midpoint given that the endpoints of the segment are at (x1, y1) and (x2,y2).

Midpoint Formula

    ideo: The Midpoint Formula
    uiz: Midpoint Formula


    The measure of a line or segment's steepness can be measured. The measurement is called slope and it requires two points, labeled as (x1, y1) and (x2,y2). Here is the formula.

Midpoint Formula

    ideo: Slope Formula
    uiz: Slope Formula


    To construct an equation of a line, we can use a special formula called the point-slope formula. The formula requires us to feed it with a point, (x1, y1), and a slope, labeled as an 'm.'

Point-Slope Formula

    esson: Point-Slope Formula
    ideo: The Point-Slope Formula: Given a Point and a Slope
    ideo: The Point-Slope Formula: Given Two Points
    uiz: Point-Slope Formula: Point & Slope
    uiz: Point-Slope Formula: Two Points


    Partitioning a segment relies on horizontal and vertical distances.

Partitioning a Segment

    The video below will help you understand how to partition a segment and the quiz will test your understanding of the skills that surround partitioning segments.

    ideo: Partitioning a Segment
    uiz: Partitioning a Segment


    Another area within coordinate geometry rests special shapes, called conic sections. The shapes include parabolas, circles, ellipses, and hyperbolas. See our lesson below. Once there, you will find several lessons, quizzes, and videos.

PConic Sections

    esson: Conic Sections