y = 2x − 1
Show answer
Use (0, −1), (1, 1), and (2, 3).
Free printable worksheet
Graphing Linear Equations Worksheet
Nine coordinate-plane problems with completed line graphs in the answer key.
Middle School MathGrades 7-86 pagesAnswer key included
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What this worksheet includes
- Nine coordinate-plane problems with completed line graphs in the answer key.
- 6-page printable PDF with a complete answer key
- Designed for Grades 7-8 middle school math practice
- Available as an immediate free download with no email required
How to use it
Use this graphing linear equations worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.
After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.
Who this practice is for
This resource is designed for grades 7-8 students working on middle school math. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.
Looking for a broader sequence? Browse all Middle School Math worksheets.
Topic guide
How to approach graphing linear equations
A linear equation graphs as a straight line. Slope-intercept form reveals the starting point on the y-axis and the repeated rise-over-run movement.
Standard-form and special lines may need a different approach. Plot at least three points, draw one straight line, and compare with the completed graph in the answer key.
Learning objectives
- Graph from slope-intercept form
- Rewrite and graph standard form
- Graph vertical and horizontal lines
Skills to review first
- Ordered pairs
- Coordinate planes
- Slope as rise over run
Worked example
Follow the reasoning step by step
Graph y = −½x + 3.
- Plot the y-intercept (0, 3).
- Use slope −½: move right 2 and down 1.
- Plot (2, 2) and (4, 1).
- Draw a straight line through the points.
Solution: A decreasing line through (0, 3), (2, 2), and (4, 1).
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
2x + y = 4
Show answer
Rewrite y = −2x + 4.
y = −3
Show answer
Horizontal line through y = −3.
Error check
Common mistakes to watch for
- Using run over rise
- Drawing vertical lines for y = a constant
- Plotting only one point