Worksheets · Algebra 1

Graphing linear equations worksheet for Algebra 1

A grid is printed with every question. Start at the intercept, then use the slope to step to the next point. The standard form questions have to be rearranged first.

Also taught in Pre-Algebra, at its own level and with its own examples.

Not quite the one you need? Same words, different skill:

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Linear Equations

Date Period

Graph each line.

  1. Slope-intercept form

    y=−32x+5−10−10−5−5551010
  2. y=−53x−3−10−10−5−5551010
  3. y=32x+4−10−10−5−5551010
  4. y=43x−1−10−10−5−5551010
  5. y=23x+3−10−10−5−5551010
  6. y=−52x+4−10−10−5−5551010
  7. y=−43x−1−10−10−5−5551010
  8. y=13x−1−10−10−5−5551010
  9. y=−23x−6−10−10−5−5551010
  10. y=52x−3−10−10−5−5551010

  1. Standard form

    −5x+3y=18−10−10−5−5551010
  2. 3x+2y=8−10−10−5−5551010
  3. −x+3y=−6−10−10−5−5551010
  4. −2x+3y=−15−10−10−5−5551010
  5. 4x+3y=−12−10−10−5−5551010
  6. −x+2y=8−10−10−5−5551010
  7. 5x+3y=3−10−10−5−5551010
  8. −3x+2y=−10−10−10−5−5551010
  9. −4x+3y=−6−10−10−5−5551010
  10. 2x+3y=−3−10−10−5−5551010

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Linear EquationsAnswer keyVersion 1

Date Period

Graph each line.

  1. Slope-intercept form

    y=−32x+5−10−10−5−551010slope −32, y-intercept 5, through (2,2)
  2. y=−53x−3−10−10−5−5551010slope −53, y-intercept −3, through (3,−8)
  3. y=32x+4−10−10−5−5551010slope 32, y-intercept 4, through (2,7)
  4. y=43x−1−10−10−5−5551010slope 43, y-intercept −1, through (3,3)
  5. y=23x+3−10−10−5551010−5slope 23, y-intercept 3, through (3,5)
  6. y=−52x+4−10−10−5−5510105slope −52, y-intercept 4, through (2,−1)
  7. y=−43x−1−10−10−5−5551010slope −43, y-intercept −1, through (3,−5)
  8. y=13x−1−10−10−5−5551010slope 13, y-intercept −1, through (3,0)
  9. y=−23x−6−10−10−5551010−5slope −23, y-intercept −6, through (3,−8)
  10. y=52x−3−10−10−5551010−5slope 52, y-intercept −3, through (2,2)

  1. Standard form

    −5x+3y=18−10−10−5−5510105slope 53, y-intercept 6, through (−3,1)
  2. 3x+2y=8−10−10−5−5510105slope −32, y-intercept 4, through (2,1)
  3. −x+3y=−6−10−10−5−5551010slope 13, y-intercept −2, through (3,−1)
  4. −2x+3y=−15−10−10−5551010slope 23, y-intercept −5, through (3,−3)
  5. 4x+3y=−12−10−10−5−5551010slope −43, y-intercept −4, through (3,−8)
  6. −x+2y=8−10−5−5551010−10slope 12, y-intercept 4, through (2,5)
  7. 5x+3y=3−10−10−5−5551010slope −53, y-intercept 1, through (3,−4)
  8. −3x+2y=−10−10−10−5551010slope 32, y-intercept −5, through (2,−2)
  9. −4x+3y=−6−10−10−5−5551010slope 43, y-intercept −2, through (3,2)
  10. 2x+3y=−3−10−10−5−5551010slope −23, y-intercept −1, through (3,−3)

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Graph y=23x−1

  1. Start at the y-intercept, -1.
  2. The slope is 2 over 3: up 2, across 3.
  3. Join the points.

The answer is slope 23, y-intercept −1, through (3,1).

Where students go wrong

Stepping across before up, or reading the slope as run over rise. The bottom of the fraction is the across, always.

Also called graphing lines, slope-intercept form or plotting linear equations.

What you can put on this worksheet

From slope-intercept form
y=3x−5 → slope 3, y-intercept −5, through (1,−2)
From standard form
−3x+y=−5 → slope 3, y-intercept −5
From point-slope form
Graph y−2=3(x+3) → slope 3, through (−3,2) and (−2,5)
Horizontal and vertical lines
Graph y=6 → A horizontal line through (0,6)
Not solved for y
Graph, and give the slope and y-intercept: 0−7x=4y → Slope −74y-intercept 0

Questions about these worksheets

Yes. Every graphing linear equations sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the graphing linear equations questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 5: from slope-intercept form, from standard form, from point-slope form, horizontal and vertical lines and not solved for y. Tick as many as you want and set how many of each, or let it spread them evenly.

Stepping across before up, or reading the slope as run over rise. The bottom of the fraction is the across, always.