Master linear functions! Understand slope, intercepts, rate of change, and how to model real-world relationships with linear equations.
Calculate slope from two points!
Points:
Formula: m = (y₂ - y₁) / (x₂ - x₁)
Explore slope-intercept form!
Slope (m) = 2, Y-intercept (b) = 3
Slope (m) measures the steepness of a line. It represents the rate of change: how much y changes per unit change in x.
Given two points (x₁, y₁) and (x₂, y₂), calculate the slope.
Step 1: Identify points: (2, 5) and (4, 11)
Step 2: Apply formula: m = (11 - 5) / (4 - 2)
Step 3: Calculate: m = 6 / 2 = 3
Answer: Slope = 3