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Identifying proportional relationships

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Overview

7th Grade Math
Proportionality
5. TX.7.4.C
5.1 Identifying proportional relationships

Identifying Proportional Relationships

Learn the quick tests for spotting a proportional relationship in an equation, a table, or a graph, and how to tell it apart from a non-proportional one.

What You'll Learn

Recognize the equation form y = kx as the defining test for a proportional relationship.
Calculate the constant of proportionality k by dividing y by x for any point.
Check a table of values for a constant ratio between y and x in every row.
Identify a proportional graph as a straight line that passes through the origin.
Distinguish non-proportional relationships by a nonzero y-intercept or a changing ratio.

What You'll Practice

1

Testing pairs of x and y values to find constant ratios

2

Plotting coordinates and analyzing whether graphs pass through the origin

3

Identifying proportional vs. non-proportional relationships from tables

4

Verifying straight-line graphs represent proportional relationships

Why This Matters

Proportional relationships are everywhere in real lifefrom unit pricing at stores to speed and distance in travel. Mastering this skill helps you recognize patterns, make predictions, and solve problems in science, economics, and everyday decision-making.

This Unit Includes

10 Video lessons
Learning resources

Skills

Proportional Relationships
Ratios
Variables
Graphing
Linear Relationships
Constant Ratio
Origin
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