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Grade 8 Math Lab: Functions & Proofs FREE

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Understanding Slope

50 min Grade 8 Math Lab: Functions & Proofs

Learning Objectives

  • Calculate slope from points
  • Interpret slope in context
  • Graph using slope

Key Concepts

Slope

Rise over run - rate of change

Rise

Vertical change (Δy)

Run

Horizontal change (Δx)

Theory

**Slope Formula:** m = (y₂ - y₁) / (x₂ - x₁) **Types of Slope:** - Positive: Line goes up left to right ↗ - Negative: Line goes down left to right ↘ - Zero: Horizontal line → - Undefined: Vertical line ↑

Examples

Find slope through (1,2) and (4,8)

Solution: m = (8-2)/(4-1) = 6/3 = 2

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Knowledge Check

Test your understanding of Slope Triangle!