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Overview
7th Grade Math
Proportionality
4. TX.7.4.A
4.4 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
TX Curriculum Aligned