Worksheets · Algebra 1

Writing linear equations worksheet

Find the slope, then use one point to pin the line down. The default sheet asks for all three forms in turn; the options narrow it to one. Slopes are whole on easy and fractions from medium up.

Select your difficulty

Pick more than one for a sheet that mixes them.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Writing Linear Equations

Date Period

Write each equation.

  1. Write the equation through (6,0) and (−4,25)
  2. Write the point-slope form of the line through (0,−6) with slope 52
  3. Write the standard form of the line through (−1,−2) with slope −5
  4. Write the equation through (1,−3) and (2,−4)
  5. Write the point-slope form of the line through (1,4) with slope −6
  6. Write the standard form of the line through (−6,22) with slope −73
  7. Write the equation through (−2,0) and (2,−16)
  8. Write the point-slope form of the line through (−8,2) with slope −32
  9. Write the standard form of the line through (−1,−9) with slope 7
  10. Write the equation through (6,27) and (9,34)
  11. Write the point-slope form of the line through (−3,6) with slope −8
  12. Write the standard form of the line through (9,9) with slope 23
  13. Write the equation through (−3,−8) and (3,−16)
  14. Write the point-slope form of the line through (5,6) with slope 12
  15. Write the standard form of the line through (−2,14) with slope −9
  16. Write the equation through (2,−7) and (−6,−3)
  17. Write the point-slope form of the line through (8,8) with slope 32
  18. Write the standard form of the line through (−1,9) with slope −1
  19. Write the equation through (−6,−7) and (−9,−15)
  20. Write the point-slope form of the line through (−4,7) with slope −5

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

Sigma Prep · sigmaprep.io/worksheets

Name

Writing Linear EquationsAnswer keyVersion 1

Date Period

Write each equation.

  1. Write the equation through (6,0) and (−4,25)y=−52x+15
  2. Write the point-slope form of the line through (0,−6) with slope 52y+6=52(x)
  3. Write the standard form of the line through (−1,−2) with slope −55x+y=−7
  4. Write the equation through (1,−3) and (2,−4)y=−x−2
  5. Write the point-slope form of the line through (1,4) with slope −6y−4=−6(x−1)
  6. Write the standard form of the line through (−6,22) with slope −737x+3y=24
  7. Write the equation through (−2,0) and (2,−16)y=−4x−8
  8. Write the point-slope form of the line through (−8,2) with slope −32y−2=−32(x+8)
  9. Write the standard form of the line through (−1,−9) with slope 77x−y=2
  10. Write the equation through (6,27) and (9,34)y=73x+13
  11. Write the point-slope form of the line through (−3,6) with slope −8y−6=−8(x+3)
  12. Write the standard form of the line through (9,9) with slope 232x−3y=−9
  13. Write the equation through (−3,−8) and (3,−16)y=−43x−12
  14. Write the point-slope form of the line through (5,6) with slope 12y−6=12(x−5)
  15. Write the standard form of the line through (−2,14) with slope −99x+y=−4
  16. Write the equation through (2,−7) and (−6,−3)y=−12x−6
  17. Write the point-slope form of the line through (8,8) with slope 32y−8=32(x−8)
  18. Write the standard form of the line through (−1,9) with slope −1x+y=8
  19. Write the equation through (−6,−7) and (−9,−15)y=83x+9
  20. Write the point-slope form of the line through (−4,7) with slope −5y−7=−5(x+4)

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

How to do these

Write the equation through (1,1) and (3,7)

  1. The slope is 6 over 2, which is 3.
  2. Use a point: 1 = 3(1) + b, so b = -2.

The answer is y=3x−2.

Where students go wrong

Stopping at the slope. The line is not pinned down until a point is used to find the intercept, and any of the given points will do it.

Also called equation of a line, point-slope form, slope-intercept form or standard form.

What you can put on this worksheet

Slope-intercept form, through two points
Write the equation through (−3,−8) and (0,4) → y=4x+4
Point-slope form
Write the point-slope form of the line through (4,−7) with slope 4 → y+7=4(x−4)
Standard form
Write y=4x+4 in standard form → 4x−y=−4

Questions about these worksheets

Yes. Every writing 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 writing 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 3: slope-intercept form, through two points, point-slope form and standard form. Tick as many as you want and set how many of each, or let it spread them evenly.

Stopping at the slope. The line is not pinned down until a point is used to find the intercept, and any of the given points will do it.