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Representing patterns in linear relations

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Chapter 12.4

Representing patterns in linear relations


What You'll Learn

Recognize and analyze patterns that form linear relationships
Create tables of values with independent (x) and dependent (y) variables
Calculate the slope (m) using the formula (y2-y1)/(x2-x1)
Determine the y-intercept (b) by substituting known values
Write linear equations in slope-intercept form (y = mx + b)

What You'll Practice

1

Counting elements in visual patterns and organizing data in tables

2

Calculating slope from coordinate pairs with whole numbers and decimals

3

Solving for the y-intercept using the linear equation

4

Writing complete linear equations from tables of values

5

Using linear equations to predict values for given inputs

Why This Matters

Understanding linear patterns is essential throughout algebra and beyond. You'll use slope-intercept form to model real-world relationships like costs over time, distance vs. speed, and growth patterns. This foundation supports future work in graphing, systems of equations, and data analysis.

This Unit Includes

13 Video lessons
Practice exercises

Skills

Linear Relations
Slope
Y-Intercept
Tables of Values
Slope-Intercept Form
Patterns
Coordinate Pairs
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