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Grade 8 Math Lab: Functions & Proofs FREE

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Linear Functions & Slope-Intercept Form

55 min Grade 8 Math Lab: Functions & Proofs

Learning Objectives

  • Write equations in slope-intercept form
  • Graph linear functions
  • Interpret slope and y-intercept

Key Concepts

Slope-Intercept Form

y = mx + b, where m is slope and b is y-intercept

y-intercept

Point where the line crosses the y-axis (x = 0)

Theory

**y = mx + b** - m = slope (rate of change) - b = y-intercept (starting value) **To graph:** Plot b on y-axis, then use slope to find more points. **To write equation:** Find slope m and y-intercept b from table, graph, or two points.

Examples

Write equation: slope 3, y-intercept -2

Solution: y = 3x - 2