Worksheets · Algebra 1

X- and y-intercepts worksheet

The x-intercept is where the line crosses the x-axis, so y is zero there; the y-intercept is where x is zero. Put zero in for one letter and solve for the other. In standard form Ax + By = C that is C over A and C over B, and two intercepts are enough to draw the line.

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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

X‑ and Y‑Intercepts

Date Period

Find the intercepts, or graph from them.

  1. Find the x- and y-intercepts of x+9y=18
  2. Graph using the intercepts: −3x−2y=−6-10-10-5-55510100
  3. Find the x- and y-intercepts of −7x−2y=−28
  4. Graph using the intercepts: 6x−2y=12-10-10-5-55510100
  5. Find the x- and y-intercepts of 2x+5y=40
  6. Graph using the intercepts: −6x−3y=−6-10-10-5-55510100
  7. Find the x- and y-intercepts of −7x+2y=−14
  8. Graph using the intercepts: 7x−7y=14-10-10-5-55510100
  9. Find the x- and y-intercepts of −7x+9y=252
  10. Graph using the intercepts: 7x−y=7-10-10-5-55510100
  11. Find the x- and y-intercepts of 5x+7y=−105
  12. Graph using the intercepts: x+2y=−2-10-10-5-55510100
  13. Find the x- and y-intercepts of −3x+5y=15
  14. Graph using the intercepts: 6x−2y=−18-10-10-5-55510100
  15. Find the x- and y-intercepts of −2x+5y=−10
  16. Graph using the intercepts: −x−5y=5-10-10-5-55510100
  17. Find the x- and y-intercepts of 5x−8y=−160
  18. Graph using the intercepts: 3x+3y=9-10-10-5-55510100
  19. Find the x- and y-intercepts of 7x−4y=−28
  20. Graph using the intercepts: −7x+2y=−14-10-10-5-55510100

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

Sigma Prep · sigmaprep.io/worksheets

Name

X‑ and Y‑InterceptsAnswer keyVersion 1

Date Period

Find the intercepts, or graph from them.

  1. Find the x- and y-intercepts of x+9y=18(18,0) and (0,2)
  2. Graph using the intercepts: −3x−2y=−6-10-10-5-55510100x-intercept (2,0), y-intercept (0,3)
  3. Find the x- and y-intercepts of −7x−2y=−28(4,0) and (0,14)
  4. Graph using the intercepts: 6x−2y=12-10-10-5-55510100x-intercept (2,0), y-intercept (0,−6)
  5. Find the x- and y-intercepts of 2x+5y=40(20,0) and (0,8)
  6. Graph using the intercepts: −6x−3y=−6-10-10-5-55510100x-intercept (1,0), y-intercept (0,2)
  7. Find the x- and y-intercepts of −7x+2y=−14(2,0) and (0,−7)
  8. Graph using the intercepts: 7x−7y=14-10-10-5-55510100x-intercept (2,0), y-intercept (0,−2)
  9. Find the x- and y-intercepts of −7x+9y=252(−36,0) and (0,28)
  10. Graph using the intercepts: 7x−y=7-10-10-5-55510100x-intercept (1,0), y-intercept (0,−7)
  11. Find the x- and y-intercepts of 5x+7y=−105(−21,0) and (0,−15)
  12. Graph using the intercepts: x+2y=−2-10-10-5-55510100x-intercept (−2,0), y-intercept (0,−1)
  13. Find the x- and y-intercepts of −3x+5y=15(−5,0) and (0,3)
  14. Graph using the intercepts: 6x−2y=−18-10-10-5-55510100x-intercept (−3,0), y-intercept (0,9)
  15. Find the x- and y-intercepts of −2x+5y=−10(5,0) and (0,−2)
  16. Graph using the intercepts: −x−5y=5-10-10-5-55510100x-intercept (−5,0), y-intercept (0,−1)
  17. Find the x- and y-intercepts of 5x−8y=−160(−32,0) and (0,20)
  18. Graph using the intercepts: 3x+3y=9-10-10-5-55510100x-intercept (3,0), y-intercept (0,3)
  19. Find the x- and y-intercepts of 7x−4y=−28(−4,0) and (0,7)
  20. Graph using the intercepts: −7x+2y=−14-10-10-5-55510100x-intercept (2,0), y-intercept (0,−7)

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

How to do these

Find the x- and y-intercepts of 3x+4y=12

  1. y = 0: 3x = 12, so x = 4.
  2. x = 0: 4y = 12, so y = 3.

The answer is (4,0) and (0,3).

Where students go wrong

Swapping them. The x-intercept has y = 0, so it is written (4, 0), not (0, 4). The letter in the name is the one that is not zero.

Also called finding intercepts, graphing using intercepts or x-intercept and y-intercept.

What you can put on this worksheet

Both intercepts from the equation
Find the x- and y-intercepts of 4x+4y=4 → (1,0) and (0,1)
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 x- and y-intercepts 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 x- and y-intercepts 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 two 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 2: both intercepts from the equation 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.

Swapping them. The x-intercept has y = 0, so it is written (4, 0), not (0, 4). The letter in the name is the one that is not zero.