Linear Equations and Gradients
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Linear Equations and Gradients
📚 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?
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