Plot each ordered pair from the table.
x1245y361215
Plot the table points, then draw a line through the origin.
Ordered pairs and graphing · grades 6–7
Graph Proportional Relationships from Tables
Turn a proportional table into plotted points and a straight line through the origin. The live sheet gives the table and an empty coordinate grid; the answer key names the exact points and equation.
Live worksheet preview
Graph Proportional Tables
Table to graph · Small whole numbers · Seed 261501
Plot each ordered pair from the table.
x2345y8121620
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x2345y46810
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x1345y26810
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x1235y36915
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x2345y10152025
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x1235y5101525
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x1345y391215
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x1245y24810
Plot the table points, then draw a line through the origin.
Plot each ordered pair from the table.
x1345y6182430
Plot the table points, then draw a line through the origin.
No fake precision: tables, graph points, equations, and double number lines come from the same exact whole-number constant of proportionality. Better Buy problems compare integer cents per item, so a winner is never chosen from a rounded display value.
Graphing a proportional table
Each column of the table becomes an ordered pair (x, y). Plot the points, then draw a straight line through them and through (0, 0). Label each axis with its quantity and unit. Both parts matter: points on a straight line that misses the origin show a relationship that is not proportional.
Worked examples
- x = 1, 2, 3 and y = 4, 8, 12 give the points (1, 4), (2, 8) and (3, 12). The line through them also passes through (0, 0), and the point (1, 4) shows the unit rate 4.
- Choosing a scale: if the largest y-value is 40, count by 5s on the y-axis and by 1s on the x-axis so every point lands on a grid intersection.
- Not proportional: (1, 3), (2, 5) and (3, 7) lie on one straight line, but that line crosses the y-axis at 1, not at (0, 0).
| Time (x, hours) | Distance (y, miles) | Point (x, y) |
|---|---|---|
| 0 | 0 | (0, 0) |
| 1 | 3 | (1, 3) |
| 2 | 6 | (2, 6) |
| 4 | 12 | (4, 12) |
Plot each ordered pair, label the axes, and draw the straight line through the origin. The point (1, 3) shows the unit rate: 3 miles per hour.
Common slips
- Plotting (y, x) instead of (x, y). The first number moves along the horizontal axis.
- Joining the points but stopping short of the origin. The line for a proportional relationship includes (0, 0).
- Using an uneven scale. If one square is 5 on one axis, keep it 5 for the whole axis.
- Leaving the axes unlabeled, which hides what the rate means.
How to use this worksheet
Print the sheet with the grid, let students plot and draw the line, then compare with the answer key, which names the exact points and the equation. A good follow-up question is what the point (1, k) on their line means.
Common Core connection
- 7.RP.A.2 · Recognize and represent proportional relationships using tables, graphs, equations, and descriptions.
A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.
Classroom note 1
Each table column becomes one ordered pair (x, y).
Classroom note 2
A proportional graph is a straight line through (0, 0).
Classroom note 3
Label each axis with its quantity and unit before plotting; an unlabeled proportional graph loses the rate meaning.
Classroom note 4
The grid scale is chosen from the generated values so no point falls outside the printable graph.
Move among tables, equations, graphs, double number lines, and Better Buy decisions in one exact generator.
Return to ratio foundations →Practice simplified ratios, equivalent tables, unit rates, proportions, and percent proportions.
More skills in this set
Questions people ask
Should students draw the origin even if it is not in the table?
Yes. A proportional relationship includes (0, 0), so the line should pass through the origin.
Does the worksheet show rounded coordinates?
No. All plotted points are whole-number coordinate pairs constructed from y = kx.
Which standard does this practice?
CCSS 7.RP.A.2a and 7.RP.A.2d: represent proportional relationships on the coordinate plane and explain what the points (0, 0) and (1, r) mean.
What does the point (1, r) show on the graph?
It is the unit rate: the y-value when x equals 1, the same k that appears in the equation and the table.