y = 4x − 7
Show answer
m = 4; b = −7
Free printable worksheet
Slope-Intercept Form Worksheet
Twenty problems converting equations to slope-intercept form and identifying slope and intercept.
Algebra 1Grades 7-103 pagesAnswer key included
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What this worksheet includes
- Twenty problems converting equations to slope-intercept form and identifying slope and intercept.
- 3-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 slope-intercept form 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 slope-intercept form
Slope-intercept form, y = mx + b, displays a line's slope m and y-intercept b directly. Equations in standard form must first be solved for y so those features can be identified accurately.
This worksheet mixes direct identification with rearrangement. Students should preserve fraction signs, simplify the slope, and remember that b is the signed constant after y is isolated.
Learning objectives
- Identify m and b in y = mx + b
- Rewrite standard-form equations in slope-intercept form
- Connect an equation's coefficients to its graph
Skills to review first
- Solving equations for a variable
- Fraction operations
- Graphing ordered pairs
Worked example
Follow the reasoning step by step
Rewrite 3x + 2y = 8 in slope-intercept form.
- Subtract 3x from both sides: 2y = −3x + 8.
- Divide every term by 2.
- Write y = −3⁄2x + 4.
- Identify m = −3⁄2 and b = 4.
Solution: y = −3⁄2x + 4; slope −3⁄2 and y-intercept (0, 4).
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
2x + y = 9
Show answer
y = −2x + 9
4x − 2y = 6
Show answer
y = 2x − 3
Error check
Common mistakes to watch for
- Reporting the coefficient of x before y is isolated
- Losing a negative sign when dividing every term
- Calling the point (b, 0) the y-intercept