Worksheets · Algebra 1

Graphing lines in standard form worksheet

Two ways in. Solve for y and graph from the slope and intercept, or set x to zero and then y to zero to get the two intercepts and join them. Equations like y = -4 or 2x = 4 are horizontal or vertical lines. The key gives the slope and y-intercept, or names the horizontal or vertical line.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Lines: Standard Form

Date Period

Graph each line.

  1. Standard form

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

  1. Graph horizontal and vertical lines

    Graph x+6=0−10−10−5−5551010
  2. Graph 2y=−12−10−10−5−5551010
  3. Graph y=3−10−10−5−5551010
  4. Graph y=−5−10−10−5−5551010
  5. Graph 3y=21−10−10−5−5551010
  6. Graph 3y=12−10−10−5−5551010
  7. Graph x=1−10−10−5−5551010
  8. Graph y−2=0−10−10−5−5551010
  9. Graph 3x=−12−10−10−5−5551010
  10. Graph x=−3−10−10−5−5551010

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

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Lines: Standard FormAnswer keyVersion 1

Date Period

Graph each line.

  1. Standard form

    3x+2y=10−10−10−5−551010slope −32, y-intercept 5, through (2,2)
  2. −5x+3y=−3−10−10−5−5551010slope 53, y-intercept −1, through (3,4)
  3. −3x+2y=2−10−10−5−5551010slope 32, y-intercept 1, through (2,4)
  4. −x+3y=−6−10−10−5−5551010slope 13, y-intercept −2, through (3,−1)
  5. 2x+3y=−18−10−10−5551010−5slope −23, y-intercept −6, through (3,−8)
  6. x+2y=8−10−10−5−5551010slope −12, y-intercept 4, through (2,3)
  7. −x+3y=3−10−10−5551010−5slope 13, y-intercept 1, through (3,2)
  8. 3x+2y=12−10−10−5−5510105slope −32, y-intercept 6, through (2,3)
  9. −5x+3y=9−10−10−5−5551010slope 53, y-intercept 3, through (3,8)
  10. 3x+2y=−8−10−10−5−5551010slope −32, y-intercept −4, through (2,−7)

  1. Graph horizontal and vertical lines

    Graph x+6=0−10−10−5−5551010A vertical line through (−6,0)
  2. Graph 2y=−12−10−10−5−5551010A horizontal line through (0,−6)
  3. Graph y=3−10−10−5−5551010A horizontal line through (0,3)
  4. Graph y=−5−10−10−5551010−5A horizontal line through (0,−5)
  5. Graph 3y=21−10−10−5−5551010A horizontal line through (0,7)
  6. Graph 3y=12−10−10−5−5551010A horizontal line through (0,4)
  7. Graph x=1−10−10−5−5551010A vertical line through (1,0)
  8. Graph y−2=0−10−10−5−5551010A horizontal line through (0,2)
  9. Graph 3x=−12−10−10−5−5551010A vertical line through (−4,0)
  10. Graph x=−3−10−10−5−5551010A vertical line through (−3,0)

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

How to do these

Graph 2x+3y=6

  1. Set x = 0: 3y = 6, so y = 2.
  2. Set y = 0: 2x = 6, so x = 3.
  3. Join (0, 2) and (3, 0).

The answer is slope −23, y-intercept 2.

Where students go wrong

Reading A as the slope. In standard form the slope is -A/B, and the sign flip is where most of the wrong lines come from.

Also called graphing Ax + By = C, standard form graphing or graphing using intercepts.

What you can put on this worksheet

From standard form
−3x+y=−5 → slope 3, y-intercept −5
Horizontal and vertical lines
Graph y=6 → A horizontal line through (0,6)
Graph a line from its intercepts
Graph using the intercepts: 3x+3y=3 → x-intercept (1,0), y-intercept (0,1)

Questions about these worksheets

Yes. Every graphing lines in standard form 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 lines in standard form 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 3: from standard form, horizontal and vertical lines and graph a line from its intercepts. Tick as many as you want and set how many of each, or let it spread them evenly.

Reading A as the slope. In standard form the slope is -A/B, and the sign flip is where most of the wrong lines come from.