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<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Coordinate Geometry - Geometry Study Guide</title>
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</head>
<body>
    <header>
        <h1>Coordinate Geometry</h1>
    </header>
    <nav>
        <a href="geometry.html">Back to Geometry</a>
        <a href="index.html">Back to Study Guide</a>
    </nav>
    <div class="container">
        <h2>What is Coordinate Geometry?</h2>
        <p><strong>Coordinate Geometry</strong> is the study of geometric figures using a coordinate plane. It connects algebra and geometry by using equations to represent shapes.</p>

        <h3>Key Concepts:</h3>
        <div class="step">
            <i class="fas fa-map-marker-alt"></i>
            <div>
                <h4>1. Distance Formula</h4>
                <p>The distance between two points <code>(x₁, y₁)</code> and <code>(x₂, y₂)</code> is given by:</p>
                <pre>d = √[(x₂ - x₁)² + (y₂ - y₁)²]</pre>
            </div>
        </div>
        <div class="step">
            <i class="fas fa-ruler"></i>
            <div>
                <h4>2. Midpoint Formula</h4>
                <p>The midpoint of a line segment with endpoints <code>(x₁, y₁)</code> and <code>(x₂, y₂)</code> is:</p>
                <pre>M = ((x₁ + x₂)/2, (y₁ + y₂)/2)</pre>
            </div>
        </div>
        <div class="step">
            <i class="fas fa-chart-line"></i>
            <div>
                <h4>3. Slope Formula</h4>
                <p>The slope of a line through two points <code>(x₁, y₁)</code> and <code>(x₂, y₂)</code> is:</p>
                <pre>m = (y₂ - y₁) / (x₂ - x₁)</pre>
            </div>
        </div>

        <h3>Example:</h3>
        <div class="example-box">
            <p><strong>Find the distance between (3, 4) and (7, 1)</strong></p>
            <pre>
            d = √[(7 - 3)² + (1 - 4)²]
              = √[16 + 9]
              = √25
              = 5
            </pre>
        </div>
        <a href="#" class="button">Try More Problems</a>
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