📚 Part 1: Understanding Gradients and Linear Equations

Key Concepts:

Gradient Formula: m = (y₂ - y₁)/(x₂ - x₁)

Linear Equation: y = mx + c (where m = gradient, c = y-intercept)

Worked Example:

Find the equation of the line passing through points A(2, 5) and B(6, 13).

Step 1: Find the gradient: m = (13 - 5)/(6 - 2) = 8/4 = 2

Step 2: Use y = mx + c with point A: 5 = 2(2) + c → c = 1

Answer: y = 2x + 1

Gradient: _________ Y-intercept: _________

✏️ Part 2: Finding Linear Equations

Step 1: Calculate gradient: m = _________

Step 2: Identify y-intercept: c = _________

Final equation: y = _________

🎯 Part 3: Problem Solving

Equation: C = _________

What does the gradient represent in this context?