Are you ready to discover if a relationship is proportional — just by looking at a graph? This fun and simple worksheet is designed to help students in Grade 7 learn how to identify proportional relationships using graphing skills.

This worksheet is part of the “Ratios and Proportions” series and helps students visually explore math relationships by plotting points on a graph.

What You’ll Learn:

• How to plot coordinate points on a graph.

• How to check if a set of points represents a proportional relationship.

• How to decide if a line goes through the origin (0, 0) — a key sign of proportionality.

• How to observe if points lie in a straight line (another sign of proportionality).

Solved Example (with Graph!):

Question:
Plot the points: (1, 10), (2, 20), (3, 30).
Is the relationship proportional?

Step-by-Step Solution:

1. Plot the points on a graph.

2. Check the line: Do the points lie on a straight line?

3. Check the origin: Does the line go through the point (0, 0)?

 All three points lie on a straight line.
 The line also passes through the origin.

 Yes, the relationship is proportional!

Here's the graph:

Let’s Try Another One:

Question:
Plot the points: (1, 3), (2, 6), (3, 9), (4, 12).
Is this relationship proportional?

Solution:

1. The line formed is straight

2. It goes through the origin

 Yes, this relationship is also proportional.

Here's the graph for this too:

Did You Know?

• A proportional relationship always forms a straight line that goes through the origin.

• The steepness of the line shows the constant of proportionality (or unit rate).

• This is useful in real life for comparing prices, speeds, and recipes