Graph y = ½x − 2.
Show answer
Use (0, −2), (2, −1), and (4, 0).
Free printable worksheet
Graphing Lines Worksheet
Nine coordinate-plane problems covering slope-intercept, standard, vertical, and horizontal lines.
Algebra 1Grades 7-107 pagesAnswer key included
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What this worksheet includes
- Nine coordinate-plane problems covering slope-intercept, standard, vertical, and horizontal lines.
- 7-page printable PDF with a complete answer key
- Designed for Grades 7-10 algebra 1 practice
- Available as an immediate free download with no email required
How to use it
Use this graphing lines 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 7-10 students working on algebra 1. 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 Algebra I worksheets.
Topic guide
How to approach graphing lines
A line can be graphed from slope-intercept form, standard form, or a special equation such as x = −3. The equation determines both the direction of the line and where it crosses the coordinate axes.
These problems give students a full coordinate plane for every equation. Plot at least three points, draw one straight line through them, and use the completed graphs in the answer key to compare placement rather than only checking an equation.
Learning objectives
- Graph a line from slope and y-intercept
- Rewrite standard form when helpful
- Identify vertical and horizontal lines
Skills to review first
- Ordered pairs
- Coordinate-plane quadrants
- Slope as rise over run
Worked example
Follow the reasoning step by step
Graph y = −2x + 3.
- Plot the y-intercept (0, 3).
- Use slope −2 = −2⁄1: move right 1 and down 2.
- Plot (1, 1) and (2, −1).
- Draw a straight line through all three points.
Solution: The line passes through (0, 3), (1, 1), and (2, −1).
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
Graph 2x + y = 4.
Show answer
Rewrite as y = −2x + 4; use (0, 4), (1, 2), and (2, 0).
Graph x = −3.
Show answer
Draw a vertical line through every point with x-coordinate −3.
Error check
Common mistakes to watch for
- Moving left for a positive run
- Treating x = a constant as a horizontal line
- Using points that do not satisfy the original equation