Worksheets · Algebra 1

Slope and linear equations worksheet

Two skills that go together: find the slope, then use a point to pin the line down. Easy slopes come out whole; medium and hard bring in fractions.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Slope and Linear Equations

Date Period

Answer each question.

  1. Find the slope from two points

    Find the slope of the line through (3,−6) and (9,−9).
  2. Find the slope of the line through (8,−8) and (14,7).
  3. Find the slope of the line through (−3,−3) and (−11,−5).
  4. Find the slope of the line through (−10,1) and (4,−5).
  5. Find the slope of the line through (9,−8) and (−13,4).
  6. Find the slope of the line through (12,−11) and (−12,−9).
  7. Find the slope of the line through (−6,3) and (14,1).
  8. Find the slope of the line through (−13,7) and (−3,−9).
  9. Find the slope of the line through (4,8) and (−14,14).
  10. Find the slope of the line through (−3,−10) and (5,4).

  1. Write the equation of the line through two points

    Write the equation of the line through (4,4) and (0,−10) in slope-intercept form.
  2. Write the equation of the line through (−2,0) and (2,−16) in slope-intercept form.
  3. Write the equation of the line through (4,−3) and (−4,−23) in slope-intercept form.
  4. Write the equation of the line through (6,24) and (−6,6) in slope-intercept form.
  5. Write the equation of the line through (6,−11) and (2,−5) in slope-intercept form.
  6. Write the equation of the line through (6,−14) and (−6,6) in slope-intercept form.
  7. Write the equation of the line through (−2,−14) and (2,−16) in slope-intercept form.
  8. Write the equation of the line through (6,21) and (3,17) in slope-intercept form.
  9. Write the equation of the line through (1,11) and (−1,−5) in slope-intercept form.
  10. Write the equation of the line through (−3,−17) and (9,3) in slope-intercept form.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Slope and Linear EquationsAnswer keyVersion 1

Date Period

Answer each question.

  1. Find the slope from two points

    Find the slope of the line through (3,−6) and (9,−9).−12
  2. Find the slope of the line through (8,−8) and (14,7).52
  3. Find the slope of the line through (−3,−3) and (−11,−5).14
  4. Find the slope of the line through (−10,1) and (4,−5).−37
  5. Find the slope of the line through (9,−8) and (−13,4).−611
  6. Find the slope of the line through (12,−11) and (−12,−9).−112
  7. Find the slope of the line through (−6,3) and (14,1).−110
  8. Find the slope of the line through (−13,7) and (−3,−9).−85
  9. Find the slope of the line through (4,8) and (−14,14).−13
  10. Find the slope of the line through (−3,−10) and (5,4).74

  1. Write the equation of the line through two points

    Write the equation of the line through (4,4) and (0,−10) in slope-intercept form.y=72x−10
  2. Write the equation of the line through (−2,0) and (2,−16) in slope-intercept form.y=−4x−8
  3. Write the equation of the line through (4,−3) and (−4,−23) in slope-intercept form.y=52x−13
  4. Write the equation of the line through (6,24) and (−6,6) in slope-intercept form.y=32x+15
  5. Write the equation of the line through (6,−11) and (2,−5) in slope-intercept form.y=−32x−2
  6. Write the equation of the line through (6,−14) and (−6,6) in slope-intercept form.y=−53x−4
  7. Write the equation of the line through (−2,−14) and (2,−16) in slope-intercept form.y=−12x−15
  8. Write the equation of the line through (6,21) and (3,17) in slope-intercept form.y=43x+13
  9. Write the equation of the line through (1,11) and (−1,−5) in slope-intercept form.y=8x+3
  10. Write the equation of the line through (−3,−17) and (9,3) in slope-intercept form.y=53x−12

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

How to do these

Find the slope through (2,3) and (5,9)

  1. Slope is the change in y over the change in x.
  2. 9 - 3 = 6 and 5 - 2 = 3.
  3. 6 over 3.

The answer is 2.

Where students go wrong

Subtracting in a different order top and bottom. As long as both start from the same point it works; mixing them flips the sign, which is the single most common slip on this topic.

Also called slope-intercept form.

What you can put on this worksheet

The slope from an equation
Find the slope of y=5x−8. → 5
The slope through two points
Find the slope of the line through (6,8) and (1,−7). → 3
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
Horizontal and vertical lines
Write the equation of the horizontal line through (1,1) → y=1
Mix in some zero and undefined slopes
Find the slope of the line through (1,1) and (−8,1). → 0

Questions about these worksheets

Yes. Every slope and 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 slope and 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 9: the slope from an equation, the slope through two points, slope-intercept form, through two points, point-slope form, standard form, from a table of values, from a graph, horizontal and vertical lines and mix in some zero and undefined slopes. Tick as many as you want and set how many of each, or let it spread them evenly.

Subtracting in a different order top and bottom. As long as both start from the same point it works; mixing them flips the sign, which is the single most common slip on this topic.