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Understanding graphs of linear relationships

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7th Grade Math
14. MA.7.AR.4.3
14.2 Understanding graphs of linear relationships

Understanding Graphs of Linear Relations

A linear relation's graph shows its y-intercept, where it crosses the y-axis, and its slope, how steeply it rises or falls.


What You'll Learn

A linear relation graphs as a straight line.
The y-intercept is where the line crosses the y-axis, the value of y when x = 0.
The slope measures steepness as rise over run.
For y = 2x + 1, the y-intercept is (0, 1) and the slope is 2.
The same relation can be shown as a graph, an equation, or a table of values.

What You'll Practice

1

Extracting information from cost versus quantity graphs

2

Finding speed using distance and time from graph coordinates

3

Creating tables of values from plotted points

4

Using linear equations to predict values beyond the graph

Why This Matters

Understanding graphs of linear relationships lets you analyze real-world data like costs, distances, and rates. You'll use these skills in science labs, economics, and everyday situations like comparing prices or planning travel times.

Before You Start — Make Sure You Can:

This Unit Includes

11 Video lessons
Practice exercises
Learning resources

Skills

Linear Relationships
Coordinates
Tables of Values
Graphing
Patterns
Linear Equations
Data Analysis
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