Worksheets · Algebra 1

Slope from a graph worksheet

Every line here is drawn through whole-number points and two of them are marked, so the rise and the run can be counted straight off the grid rather than estimated.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Slope From a Graph

Date Period

Find the slope of each line.

  1. Find the slope from a graph

    Count the rise and the run along the dashed lines, then find the slope of the line.−10−10−5−5510105
  2. Use the two marked points to find the slope of the line.−10−10−5−5551010
  3. The line passes through points where grid lines cross. Use two of them to find its slope.−10−10−5551010−5
  4. Use the line's x-intercept and y-intercept to find its slope.−10−10−5−5101055
  5. The dashed lines show the rise and the run between the two marked points. Find the slope of the line.−10−10−5−5551010
  6. No points are marked. Find two places where the line crosses grid lines exactly, and use them to find its slope.−10−10−5551010−5
  7. Find the slope of the line through the two marked points.−10−10−5−5510105
  8. Read where the line crosses the x-axis and the y-axis, then find its slope.−10−10−5551010−5
  9. The line passes through points where grid lines cross. Use two of them to find its slope.−10−10−5−5551010
  10. Use the two marked points to find the slope of the line.−10−10−5−5551010

  1. Find slopes of horizontal and vertical lines

    Find a perpendicular line's slope.−10−10−5−5551010
  2. Find a perpendicular line's slope.−10−10−5−5551010
  3. Find a perpendicular line's slope.−10−10−5−5551010
  4. Find a perpendicular line's slope.−10−10−5−5551010
  5. Find a perpendicular line's slope.−10−5510−10−5510
  6. Find a perpendicular line's slope.−10−10−5551010−5
  7. Find a perpendicular line's slope.−10−10−5−5551010
  8. Find a perpendicular line's slope.−10−10−5−5551010
  9. Find a perpendicular line's slope.−10−10−5−5551010
  10. Find a perpendicular line's slope.−10−10−5−5551010

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

Sigma Prep · sigmaprep.io/worksheets

Name

Slope From a GraphAnswer keyVersion 1

Date Period

Find the slope of each line.

  1. Find the slope from a graph

    Count the rise and the run along the dashed lines, then find the slope of the line.−10−10−5−5510105−32
  2. Use the two marked points to find the slope of the line.−10−10−5−55510103
  3. The line passes through points where grid lines cross. Use two of them to find its slope.−10−10−5551010−512
  4. Use the line's x-intercept and y-intercept to find its slope.−10−10−5−5101055−1
  5. The dashed lines show the rise and the run between the two marked points. Find the slope of the line.−10−10−5−5551010−53
  6. No points are marked. Find two places where the line crosses grid lines exactly, and use them to find its slope.−10−10−5551010−55
  7. Find the slope of the line through the two marked points.−10−10−5−551010513
  8. Read where the line crosses the x-axis and the y-axis, then find its slope.−10−10−5551010−5−12
  9. The line passes through points where grid lines cross. Use two of them to find its slope.−10−10−5−5551010−43
  10. Use the two marked points to find the slope of the line.−10−10−5−555101052

  1. Find slopes of horizontal and vertical lines

    Find a perpendicular line's slope.−10−10−5−5551010Undefined
  2. Find a perpendicular line's slope.−10−10−5−5551010Undefined
  3. Find a perpendicular line's slope.−10−10−5−55510100
  4. Find a perpendicular line's slope.−10−10−5−5551010Undefined
  5. Find a perpendicular line's slope.−10−5510−10−55100
  6. Find a perpendicular line's slope.−10−10−5551010−5Undefined
  7. Find a perpendicular line's slope.−10−10−5−55510100
  8. Find a perpendicular line's slope.−10−10−5−5551010Undefined
  9. Find a perpendicular line's slope.−10−10−5−55510100
  10. Find a perpendicular line's slope.−10−10−5−5551010Undefined

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

How to do these

Find the slope of the line

  1. Pick the two marked points.
  2. Count how far up, then how far across.
  3. Up over across.

The answer is 23.

Where students go wrong

Counting the run before the rise. Slope is rise over run, and swapping them turns a slope of 2 into a half. Reading left to right also keeps the sign right.

Also called finding slope from a graph or reading slope off a line.

What you can put on this worksheet

Read the slope off the picture
The dashed lines show the rise and the run between the two marked points. Find the slope of the line. → 3
Horizontal and vertical lines
Find the slope of the line. → 0
No points marked
Find the slope of the line. → 3

Questions about these worksheets

Yes. Every slope from a graph 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 from a graph 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: read the slope off the picture, horizontal and vertical lines and no points marked. Tick as many as you want and set how many of each, or let it spread them evenly.

Counting the run before the rise. Slope is rise over run, and swapping them turns a slope of 2 into a half. Reading left to right also keeps the sign right.