Worksheets · Algebra 1

Writing linear equations worksheet for Algebra 1

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.

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

Writing Linear Equations

Date Period

Write each equation.

  1. Write the equation of the line through two points

    Write the equation of the line through (6,0) and (−4,25) in slope-intercept form.
  2. Write the equation of the line through (3,23) and (−2,−2) in slope-intercept form.
  3. Write the equation of the line through (9,−24) and (3,−8) in slope-intercept form.
  4. Write the equation of the line through (−9,32) and (−6,25) in slope-intercept form.
  5. Write the equation of the line through (−3,−12) and (−2,−5) in slope-intercept form.

  1. Write in point-slope form

    Write the point-slope form of the line through (−2,−2) with slope 52.
  2. Write the point-slope form of the line through (2,−1) with slope −73.
  3. Write the point-slope form of the line through (−8,−4) with slope 9.
  4. Write the point-slope form of the line through (7,6) with slope 3.
  5. Write the point-slope form of the line through (−4,6) with slope 12.

  1. Write in standard form

    Write the standard form of the line through (−6,−14) with slope 32.
  2. Write the standard form of the line through (3,1) with slope 43.
  3. Write the standard form of the line through (−1,10) with slope −3.
  4. Write the standard form of the line through (−4,26) with slope −92.
  5. Write the standard form of the line through (3,10) with slope 3.

  1. Write the equation of the line from a slope and a point

    Write the equation of the line through (−6,−3) with slope 23 in slope-intercept form.
  2. Write the equation of the line through (4,−4) with slope 32 in slope-intercept form.
  3. Write the equation of the line through (3,1) with slope 3 in slope-intercept form.
  4. Write the equation of the line through (−1,−4) with slope −5 in slope-intercept form.
  5. Write the equation of the line through (−3,12) with slope −5 in slope-intercept form.

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 of the line through two points

    Write the equation of the line through (6,0) and (−4,25) in slope-intercept form.y=−52x+15
  2. Write the equation of the line through (3,23) and (−2,−2) in slope-intercept form.y=5x+8
  3. Write the equation of the line through (9,−24) and (3,−8) in slope-intercept form.y=−83x
  4. Write the equation of the line through (−9,32) and (−6,25) in slope-intercept form.y=−73x+11
  5. Write the equation of the line through (−3,−12) and (−2,−5) in slope-intercept form.y=7x+9

  1. Write in point-slope form

    Write the point-slope form of the line through (−2,−2) with slope 52.y+2=52(x+2)
  2. Write the point-slope form of the line through (2,−1) with slope −73.y+1=−73(x−2)
  3. Write the point-slope form of the line through (−8,−4) with slope 9.y+4=9(x+8)
  4. Write the point-slope form of the line through (7,6) with slope 3.y−6=3(x−7)
  5. Write the point-slope form of the line through (−4,6) with slope 12.y−6=12(x+4)

  1. Write in standard form

    Write the standard form of the line through (−6,−14) with slope 32.3x−2y=10
  2. Write the standard form of the line through (3,1) with slope 43.4x−3y=9
  3. Write the standard form of the line through (−1,10) with slope −3.3x+y=7
  4. Write the standard form of the line through (−4,26) with slope −92.9x+2y=16
  5. Write the standard form of the line through (3,10) with slope 3.3x−y=−1

  1. Write the equation of the line from a slope and a point

    Write the equation of the line through (−6,−3) with slope 23 in slope-intercept form.y=23x+1
  2. Write the equation of the line through (4,−4) with slope 32 in slope-intercept form.y=32x−10
  3. Write the equation of the line through (3,1) with slope 3 in slope-intercept form.y=3x−8
  4. Write the equation of the line through (−1,−4) with slope −5 in slope-intercept form.y=−5x−9
  5. Write the equation of the line through (−3,12) with slope −5 in slope-intercept form.y=−5x−3

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 or slope-intercept form.

What you can put on this worksheet

Slope-intercept form, through two points
Write the equation of the line through (−3,−8) and (0,4) in slope-intercept form. → y=4x+4
Point-slope form
Write the point-slope form of the line through (1,−5) with slope 4. → y+5=4(x−1)
Standard form
Write in standard form: y=4x+4 → 4x−y=−4
From a table of values
Write the equation of the line.x0123y471013 → y=3x+4
From a graph
No points are marked. Find two places where the line crosses grid lines exactly, then write its equation. → y=2x−3
A horizontal or vertical line, from a graph
Write the equation of the line. → y=7
Horizontal and vertical lines
Write the equation of the horizontal line through (1,1) → y=1
Slope-intercept form, from a slope and a point
Write the equation of the line through (2,−2) with slope 3 in slope-intercept form. → y=3x−8

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 8: slope-intercept form, through two points, point-slope form, standard form, from a table of values, from a graph, a horizontal or vertical line, from a graph, horizontal and vertical lines and slope-intercept form, from a slope and a point. 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.