<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="1:1">
  <link rel="stylesheet" href="{{VENDOR_CDN}}/katex.min.css">
  <script src="{{VENDOR_CDN}}/katex.min.js"></script>
  <script src="{{VENDOR_CDN}}/classace-diagram.js"></script>
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    body {
      font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      background: #f8f9fa;
      color: #1e2945;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100%;
      padding: 12px 8px;
    }

    .flow-container {
      width: 100%;
      max-width: 420px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 4px;
    }

    .step-box {
      width: 100%;
      background: #ffffff;
      border: 1.5px solid #e2e8f0;
      border-radius: 10px;
      padding: 8px 12px;
      text-align: center;
      transition: all 0.3s ease;
      box-shadow: 0 1px 3px rgba(0,0,0,0.04);
      cursor: pointer;
    }

    .step-box.active {
      border-color: #0284c7;
      box-shadow: 0 0 0 3px rgba(2, 132, 199, 0.15);
      background: #f0f9ff;
    }

    .step-box.highlight {
      border: 2px solid #0d9488;
      background: #f0fdfa;
      box-shadow: 0 0 0 3px rgba(13, 148, 136, 0.15);
    }

    .box-header {
      font-size: 11px;
      font-weight: 700;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      color: #64748b;
      margin-bottom: 4px;
    }

    .step-box.highlight .box-header {
      color: #0f766e;
    }

    .math-eq {
      font-size: 16px;
      color: #0f172a;
      display: flex;
      align-items: center;
      justify-content: center;
      min-height: 28px;
    }

    .arrow-divider {
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      gap: 1px;
      padding: 2px 0;
    }

    .arrow-label {
      font-size: 11px;
      font-weight: 600;
      color: #475569;
      background: #ede9fe;
      border: 1px solid #ddd6fe;
      border-radius: 12px;
      padding: 2px 10px;
      text-align: center;
      max-width: 90%;
      white-space: nowrap;
    }

    .arrow-icon {
      color: #8b5cf6;
      font-size: 13px;
      line-height: 1;
      margin-top: 1px;
    }

    .badges {
      display: flex;
      justify-content: center;
      gap: 8px;
      margin-top: 6px;
    }

    .badge {
      font-size: 12px;
      font-weight: 700;
      padding: 2px 8px;
      border-radius: 6px;
      display: inline-flex;
      align-items: center;
    }

    .badge-a { background: #e0e7ff; color: #3730a3; border: 1px solid #c7d2fe; }
    .badge-b { background: #ccfbf1; color: #115e59; border: 1px solid #99f6e4; }
    .badge-c { background: #fef3c7; color: #92400e; border: 1px solid #fde68a; }

    .controls {
      display: flex;
      align-items: center;
      gap: 8px;
      margin-top: 10px;
    }

    .btn-ctrl {
      background: #ffffff;
      border: 1px solid #cbd5e1;
      border-radius: 6px;
      padding: 4px 12px;
      font-size: 12px;
      font-weight: 600;
      color: #334155;
      cursor: pointer;
      display: flex;
      align-items: center;
      gap: 4px;
    }

    .btn-ctrl:active {
      background: #e2e8f0;
    }

    .dots {
      display: flex;
      gap: 6px;
    }

    .dot {
      width: 8px;
      height: 8px;
      border-radius: 50%;
      background: #cbd5e1;
      cursor: pointer;
      transition: background 0.2s ease;
    }

    .dot.active {
      background: #0284c7;
    }
  </style>
</head>
<body>
  <div class="flow-container">
    
    <div class="step-box step-item" id="step0" onclick="goToStep(0)">
      <div class="box-header">Point-Slope Form</div>
      <div class="math-eq" id="eq1"></div>
    </div>

    
    <div class="arrow-divider">
      <div class="arrow-label">Clear double signs &amp; ×5</div>
      <div class="arrow-icon">↓</div>
    </div>

    
    <div class="step-box step-item" id="step1" onclick="goToStep(1)">
      <div class="box-header">Clear Fraction</div>
      <div class="math-eq" id="eq2"></div>
    </div>

    
    <div class="arrow-divider">
      <div class="arrow-label">Distribute</div>
      <div class="arrow-icon">↓</div>
    </div>

    
    <div class="step-box step-item" id="step2" onclick="goToStep(2)">
      <div class="box-header">Expanded</div>
      <div class="math-eq" id="eq3"></div>
    </div>

    
    <div class="arrow-divider">
      <div class="arrow-label">Rearrange: A ≥ 0 &amp; RHS = 0</div>
      <div class="arrow-icon">↓</div>
    </div>

    
    <div class="step-box highlight step-item" id="step3" onclick="goToStep(3)">
      <div class="box-header">General Form: Ax + By + C = 0</div>
      <div class="math-eq" id="eq4"></div>
      <div class="badges">
        <span class="badge badge-a">A = 2</span>
        <span class="badge badge-b">B = 5</span>
        <span class="badge badge-c">C = -3</span>
      </div>
    </div>

    
    <div class="controls">
      <button class="btn-ctrl" id="prevBtn" onclick="prevStep()">‹</button>
      <button class="btn-ctrl" id="playBtn" onclick="togglePlay()"><span id="playIcon">⏸</span> Auto</button>
      <button class="btn-ctrl" id="nextBtn" onclick="nextStep()">›</button>
      <div class="dots">
        <div class="dot" onclick="goToStep(0)"></div>
        <div class="dot" onclick="goToStep(1)"></div>
        <div class="dot" onclick="goToStep(2)"></div>
        <div class="dot" onclick="goToStep(3)"></div>
      </div>
    </div>
  </div>

  <script>
    // Render KaTeX equations
    function renderEquations() {
      if (window.katex) {
        katex.render("y - (-1) = -\\frac{2}{5}(x - 4)", document.getElementById("eq1"), { throwOnError: false });
        katex.render("5(y + 1) = -2(x - 4)", document.getElementById("eq2"), { throwOnError: false });
        katex.render("5y + 5 = -2x + 8", document.getElementById("eq3"), { throwOnError: false });
        katex.render("2x + 5y - 3 = 0", document.getElementById("eq4"), { throwOnError: false });
      } else {
        document.getElementById("eq1").textContent = "y - (-1) = -2/5(x - 4)";
        document.getElementById("eq2").textContent = "5(y + 1) = -2(x - 4)";
        document.getElementById("eq3").textContent = "5y + 5 = -2x + 8";
        document.getElementById("eq4").textContent = "2x + 5y - 3 = 0";
      }
    }

    let current = 3;
    let playing = true;
    let timer = null;

    const boxes = document.querySelectorAll(".step-item");
    const dots = document.querySelectorAll(".dot");

    function updateUI() {
      boxes.forEach((box, i) => {
        if (i === 3) {
          box.className = (i === current) ? "step-box highlight active step-item" : "step-box highlight step-item";
        } else {
          box.className = (i === current) ? "step-box active step-item" : "step-box step-item";
        }
      });
      dots.forEach((dot, i) => {
        dot.classList.toggle("active", i === current);
      });
    }

    function goToStep(idx) {
      current = idx;
      updateUI();
    }

    function nextStep() {
      current = (current + 1) % 4;
      updateUI();
    }

    function prevStep() {
      current = (current - 1 + 4) % 4;
      updateUI();
    }

    function startAuto() {
      if (timer) clearInterval(timer);
      timer = setInterval(nextStep, 3500);
      playing = true;
      document.getElementById("playIcon").textContent = "⏸";
    }

    function stopAuto() {
      if (timer) clearInterval(timer);
      timer = null;
      playing = false;
      document.getElementById("playIcon").textContent = "▶";
    }

    function togglePlay() {
      if (playing) stopAuto();
      else startAuto();
    }

    window.addEventListener("DOMContentLoaded", () => {
      renderEquations();
      updateUI();
      startAuto();
    });
  </script>
</body>
</html>

Converting Between Point-Slope and General Form of Linear Equations

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    body {
      font-family: system-ui, -apple-system, sans-serif;
      background: #f8fafc;
      color: #1e293b;
      padding: 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 10px;
      user-select: none;
      -webkit-user-select: none;
    }

    .header-bar {
      display: flex;
      flex-wrap: wrap;
      justify-content: center;
      align-items: center;
      gap: 12px;
      font-weight: 600;
      font-size: 15px;
    }

    .badge-gen {
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      padding: 4px 10px;
      border-radius: 6px;
      color: #334155;
    }

    .badge-slope {
      background: #eff6ff;
      border: 1px solid #bfdbfe;
      padding: 4px 10px;
      border-radius: 6px;
      color: #1d4ed8;
    }

    .main-stage {
      display: flex;
      flex-wrap: wrap;
      justify-content: center;
      align-items: center;
      gap: 12px;
      width: 100%;
      max-width: 620px;
    }

    .graph-container {
      background: #ffffff;
      border-radius: 10px;
      border: 1px solid #e2e8f0;
      width: 300px;
      height: 250px;
      box-shadow: 0 1px 3px rgba(0,0,0,0.04);
      position: relative;
    }

    svg {
      width: 100%;
      height: 100%;
      display: block;
    }

    .info-panel {
      flex: 1;
      min-width: 260px;
      max-width: 300px;
      display: flex;
      flex-direction: column;
      gap: 10px;
    }

    .point-tabs {
      display: grid;
      grid-template-columns: repeat(3, 1fr);
      gap: 6px;
    }

    .pt-btn {
      padding: 8px 4px;
      border: 2px solid transparent;
      border-radius: 8px;
      background: #ffffff;
      font-weight: 700;
      font-size: 14px;
      cursor: pointer;
      box-shadow: 0 1px 2px rgba(0,0,0,0.05);
      transition: all 0.2s ease;
      text-align: center;
    }

    .pt-btn.btn-orange { color: #ea580c; border-color: #ffedd5; }
    .pt-btn.btn-blue   { color: #2563eb; border-color: #dbeafe; }
    .pt-btn.btn-green  { color: #059669; border-color: #d1fae5; }

    .pt-btn.active.btn-orange { background: #ea580c; color: #fff; border-color: #ea580c; }
    .pt-btn.active.btn-blue   { background: #2563eb; color: #fff; border-color: #2563eb; }
    .pt-btn.active.btn-green  { background: #059669; color: #fff; border-color: #059669; }

    .eq-card {
      background: #ffffff;
      border: 1px solid #e2e8f0;
      border-radius: 10px;
      padding: 14px 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 8px;
      min-height: 110px;
      justify-content: center;
      box-shadow: 0 1px 3px rgba(0,0,0,0.04);
    }

    .eq-template {
      font-size: 13px;
      color: #64748b;
      font-weight: 500;
    }

    .eq-active {
      font-size: 18px;
      font-weight: 700;
      color: #0f172a;
      letter-spacing: 0.5px;
    }

    .val-y { transition: color 0.2s; }
    .val-x { transition: color 0.2s; }
    .val-m { color: #1d4ed8; }

    .target-ring {
      transition: all 0.3s cubic-bezier(0.4, 0, 0.2, 1);
      pointer-events: none;
    }
  </style>
</head>
<body>

  <div class="header-bar">
    <div class="badge-gen">3x − 4y + 12 = 0</div>
    <div class="badge-slope">m = ¾</div>
  </div>

  <div class="main-stage">
    <div class="graph-container">
      <svg viewBox="0 0 300 250">
        <defs>
          <marker id="arrow" viewBox="0 0 10 10" refX="5" refY="5" markerWidth="6" markerHeight="6" orient="auto-start-reverse">
            <path d="M 0 1.5 L 8 5 L 0 8.5 z" fill="#94a3b8" />
          </marker>
        </defs>

        
        <g stroke="#f1f5f9" stroke-width="1">
          
          <line x1="20" y1="10" x2="20" y2="240" />
          <line x1="60" y1="10" x2="60" y2="240" />
          <line x1="100" y1="10" x2="100" y2="240" />
          <line x1="180" y1="10" x2="180" y2="240" />
          <line x1="220" y1="10" x2="220" y2="240" />
          <line x1="260" y1="10" x2="260" y2="240" />

          
          <line x1="10" y1="220" x2="290" y2="220" />
          <line x1="10" y1="140" x2="290" y2="140" />
          <line x1="10" y1="100" x2="290" y2="100" />
          <line x1="10" y1="60" x2="290" y2="60" />
          <line x1="10" y1="20" x2="290" y2="20" />
        </g>

        
        <g stroke="#94a3b8" stroke-width="1.5">
          <line x1="15" y1="180" x2="285" y2="180" marker-end="url(#arrow)" />
          <line x1="140" y1="240" x2="140" y2="15" marker-end="url(#arrow)" />
        </g>

        
        <text x="282" y="196" fill="#64748b" font-size="11" font-weight="600">x</text>
        <text x="148" y="24" fill="#64748b" font-size="11" font-weight="600">y</text>

        
        
        <line x1="20" y1="210" x2="260" y2="30" stroke="#334155" stroke-width="3" stroke-linecap="round" />

        
        <path d="M 60 180 L 140 180 L 140 120" fill="none" stroke="#cbd5e1" stroke-width="1.5" stroke-dasharray="3,3" />

        
        <circle id="targetHalo" class="target-ring" cx="140" cy="120" r="14" fill="none" stroke="#2563eb" stroke-width="3" opacity="0.4" />

        
        
        <circle id="pt0" cx="60" cy="180" r="6" fill="#ea580c" stroke="#ffffff" stroke-width="2" style="cursor:pointer;" onclick="selectPoint(0)" />

        
        <circle id="pt1" cx="140" cy="120" r="6" fill="#2563eb" stroke="#ffffff" stroke-width="2" style="cursor:pointer;" onclick="selectPoint(1)" />

        
        <circle id="pt2" cx="220" cy="60" r="6" fill="#059669" stroke="#ffffff" stroke-width="2" style="cursor:pointer;" onclick="selectPoint(2)" />
      </svg>
    </div>

    <div class="info-panel">
      <div class="point-tabs">
        <button class="pt-btn btn-orange" id="btn0" onclick="selectPoint(0)">(-4, 0)</button>
        <button class="pt-btn btn-blue active" id="btn1" onclick="selectPoint(1)">(0, 3)</button>
        <button class="pt-btn btn-green" id="btn2" onclick="selectPoint(2)">(4, 6)</button>
      </div>

      <div class="eq-card">
        <div class="eq-template">y − y₁ = m(x − x₁)</div>
        <div class="eq-active" id="eqDisplay">
          y − <span class="val-y" id="yVal">3</span> = <span class="val-m">¾</span>(x − <span class="val-x" id="xVal">0</span>)
        </div>
      </div>
    </div>
  </div>

  <script>
    const points = [
      { x: -4, y: 0, cx: 60,  cy: 180, color: '#ea580c', ySub: '0',  xSub: '+ 4' },
      { x: 0,  y: 3, cx: 140, cy: 120, color: '#2563eb', ySub: '3',  xSub: '0'   },
      { x: 4,  y: 6, cx: 220, cy: 60,  color: '#059669', ySub: '6',  xSub: '4'   }
    ];

    let currentIndex = 1;

    function selectPoint(idx) {
      currentIndex = idx;
      const pt = points[idx];

      // Update button styles
      for (let i = 0; i < 3; i++) {
        const btn = document.getElementById('btn' + i);
        if (i === idx) {
          btn.classList.add('active');
        } else {
          btn.classList.remove('active');
        }
      }

      // Update SVG Target Halo
      const halo = document.getElementById('targetHalo');
      halo.setAttribute('cx', pt.cx);
      halo.setAttribute('cy', pt.cy);
      halo.setAttribute('stroke', pt.color);

      // Update Equation
      const ySpan = document.getElementById('yVal');
      const xSpan = document.getElementById('xVal');

      ySpan.textContent = pt.ySub;
      ySpan.style.color = pt.color;

      xSpan.textContent = pt.xSub;
      xSpan.style.color = pt.color;
    }

    // Initial render setup
    selectPoint(1);
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <link rel="stylesheet" href="{{VENDOR_CDN}}/katex.min.css">
  <script src="{{VENDOR_CDN}}/katex.min.js"></script>
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; font-family: system-ui, -apple-system, sans-serif; }
    body {
      background: #f8f9fa;
      color: #1e2945;
      padding: 10px;
      display: flex;
      flex-direction: column;
      gap: 8px;
    }

    .cards-row {
      display: flex;
      gap: 8px;
      flex-wrap: wrap;
    }

    .card-item {
      flex: 1 1 200px;
      padding: 10px 12px;
      border-radius: 10px;
      cursor: pointer;
      user-select: none;
      transition: box-shadow 0.25s ease, background-color 0.25s ease;
      position: relative;
    }

    /* Point-Slope Card (Blue) */
    .card-ps {
      background: #f0f7ff;
      border: 1.5px solid #bae0fd;
    }
    .card-ps.active {
      box-shadow: 0 0 0 2px #0284c7;
      background: #e0f2fe;
    }

    /* General Form Card (Teal) */
    .card-gf {
      background: #f0fdfa;
      border: 1.5px solid #99f6e4;
    }
    .card-gf.active {
      box-shadow: 0 0 0 2px #0d9488;
      background: #ccfbf1;
    }

    .card-header {
      font-size: 11px;
      font-weight: 700;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      margin-bottom: 4px;
    }
    .card-ps .card-header { color: #0369a1; }
    .card-gf .card-header { color: #0f766e; }

    .eq-display {
      font-size: 16px;
      font-weight: 600;
      margin-bottom: 6px;
    }

    .callout-row {
      display: flex;
      gap: 6px;
      flex-wrap: wrap;
    }

    .pill {
      font-size: 11px;
      font-weight: 600;
      padding: 2px 7px;
      border-radius: 6px;
      display: inline-flex;
      align-items: center;
      gap: 4px;
    }
    .pill-blue {
      background: #dbeafe;
      color: #1e40af;
      border: 1px solid #bfdbfe;
    }
    .pill-teal {
      background: #cffafe;
      color: #115e59;
      border: 1px solid #a5f3fc;
    }

    /* Graph Section */
    .graph-container {
      background: #ffffff;
      border: 1px solid #e2e8f0;
      border-radius: 10px;
      padding: 6px;
      display: flex;
      flex-direction: column;
      align-items: center;
      position: relative;
    }

    .graph-svg {
      width: 100%;
      max-width: 480px;
      height: auto;
      display: block;
    }

    /* Interactive Elements */
    .focus-point, .focus-slope, .focus-general {
      transition: opacity 0.3s ease;
    }
    .dimmed { opacity: 0.2; }
    .highlighted { opacity: 1; }

    .btn-toggle-group {
      display: flex;
      gap: 6px;
      margin-bottom: 2px;
    }

    .tab-btn {
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      color: #475569;
      font-size: 11px;
      font-weight: 600;
      padding: 3px 10px;
      border-radius: 6px;
      cursor: pointer;
      transition: all 0.2s ease;
    }
    .tab-btn.active {
      background: #1e2945;
      color: #ffffff;
      border-color: #1e2945;
    }
  </style>
</head>
<body>

  
  <div class="cards-row">
    
    <div class="card-item card-ps active" id="cardPS" onclick="setMode('ps')">
      <div class="card-header">Point-Slope Form</div>
      <div class="eq-display" id="mathPS"></div>
      <div class="callout-row">
        <span class="pill pill-blue">✦ (x₁, y₁): Anchor Point</span>
        <span class="pill pill-blue">↗ m: Slope (Rise/Run)</span>
      </div>
    </div>

    
    <div class="card-item card-gf" id="cardGF" onclick="setMode('gf')">
      <div class="card-header">General Form</div>
      <div class="eq-display" id="mathGF"></div>
      <div class="callout-row">
        <span class="pill pill-teal">✦ A, B, C: Integers (A ≥ 0)</span>
        <span class="pill pill-teal">= 0: Standardized</span>
      </div>
    </div>
  </div>

  
  <div class="graph-container">
    <div class="btn-toggle-group">
      <button class="tab-btn active" id="btnBoth" onclick="setMode('both')">Compare Both</button>
      <button class="tab-btn" id="btnPS" onclick="setMode('ps')">Point-Slope Focus</button>
      <button class="tab-btn" id="btnGF" onclick="setMode('gf')">General Form Focus</button>
    </div>

    <svg class="graph-svg" viewBox="0 0 460 210" aria-label="Plotted linear equation comparison">
      <defs>
        <marker id="arrow" viewBox="0 0 8 8" refX="6" refY="4" markerWidth="6" markerHeight="6" orient="auto">
          <path d="M 0 1.5 L 6 4 L 0 6.5 z" fill="#94a3b8" />
        </marker>
        <marker id="arrow-blue" viewBox="0 0 8 8" refX="6" refY="4" markerWidth="5" markerHeight="5" orient="auto">
          <path d="M 0 1.5 L 6 4 L 0 6.5 z" fill="#0284c7" />
        </marker>
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OGM.12.GEO.1

Aligned learning resources

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