Worksheets · Pre-Algebra

X- and y-intercepts worksheet for Pre-Algebra

Pre-Algebra treats intercepts as substitution practice: replace one letter with 0 and solve a one-step or two-step equation for the other. Lines come in standard form or as y = mx + b, and the two points you find are enough to graph the line by hand.

Also taught in Algebra 1, at its own level and with its own examples.

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

X- and Y-Intercepts

Date Period

Find the intercepts, or graph from them.

  1. Find the xx- and yy-intercepts

    Find the x- and y-intercepts of 5x+2y=−20
  2. Find the x- and y-intercepts of 6x−7y=−168
  3. Find the x- and y-intercepts of 3x+4y=12
  4. Find the x- and y-intercepts of x+5y=−15
  5. Find the x- and y-intercepts of 5x+y=15
  6. Find the x- and y-intercepts of −6x+y=18
  7. Find the x- and y-intercepts of x+3y=3

  1. Graph a line using its intercepts

    Graph using the intercepts: 5x−3y=15−10−10−5−5551010
  2. Graph using the intercepts: x+5y=−5−10−10−5−5551010
  3. Graph using the intercepts: −3x−4y=−12−10−10−5−5551010
  4. Graph using the intercepts: 5x+5y=10−10−10−5−5551010
  5. Graph using the intercepts: 3x−5y=−15−10−10−5−5551010
  6. Graph using the intercepts: 3x+2y=−6−10−10−5−5551010
  7. Graph using the intercepts: −x−4y=−8−10−10−5−5551010

  1. Find the intercepts of y=mx+by = mx + b

    Find the x- and y-intercepts of y=x+1
  2. Find the x- and y-intercepts of y=−x+7
  3. Find the x- and y-intercepts of y=4x+32
  4. Find the x- and y-intercepts of y=−6x+36
  5. Find the x- and y-intercepts of y=4x−8
  6. Find the x- and y-intercepts of y=−6x−48

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

Sigma Prep · sigmaprep.io/worksheets

Name

X- and Y-InterceptsAnswer keyVersion 2

Date Period

Find the intercepts, or graph from them.

  1. Find the xx- and yy-intercepts

    Find the x- and y-intercepts of 5x+2y=−20(−4,0) and (0,−10)
  2. Find the x- and y-intercepts of 6x−7y=−168(−28,0) and (0,24)
  3. Find the x- and y-intercepts of 3x+4y=12(4,0) and (0,3)
  4. Find the x- and y-intercepts of x+5y=−15(−15,0) and (0,−3)
  5. Find the x- and y-intercepts of 5x+y=15(3,0) and (0,15)
  6. Find the x- and y-intercepts of −6x+y=18(−3,0) and (0,18)
  7. Find the x- and y-intercepts of x+3y=3(3,0) and (0,1)

  1. Graph a line using its intercepts

    Graph using the intercepts: 5x−3y=15−10−10−5551010x-intercept (3,0), y-intercept (0,−5)
  2. Graph using the intercepts: x+5y=−5−10−10−5551010x-intercept (−5,0), y-intercept (0,−1)
  3. Graph using the intercepts: −3x−4y=−12−10−10−5−5510105x-intercept (4,0), y-intercept (0,3)
  4. Graph using the intercepts: 5x+5y=10−10−10−5−5551010x-intercept (2,0), y-intercept (0,2)
  5. Graph using the intercepts: 3x−5y=−15−10−10−5551010x-intercept (−5,0), y-intercept (0,3)
  6. Graph using the intercepts: 3x+2y=−6−10−10−5−5551010x-intercept (−2,0), y-intercept (0,−3)
  7. Graph using the intercepts: −x−4y=−8−10−10−5−5551010x-intercept (8,0), y-intercept (0,2)

  1. Find the intercepts of y=mx+by = mx + b

    Find the x- and y-intercepts of y=x+1(−1,0) and (0,1)
  2. Find the x- and y-intercepts of y=−x+7(7,0) and (0,7)
  3. Find the x- and y-intercepts of y=4x+32(−8,0) and (0,32)
  4. Find the x- and y-intercepts of y=−6x+36(6,0) and (0,36)
  5. Find the x- and y-intercepts of y=4x−8(2,0) and (0,−8)
  6. Find the x- and y-intercepts of y=−6x−48(−8,0) and (0,−48)

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

How to do these

Find the x- and y-intercepts of y=12x−3

  1. Set x = 0: y = -3.
  2. Set y = 0: (1/2)x = 3, so x = 6.

The answer is (6,0) and (0,−3).

Where students go wrong

Reading b in y = mx + b as the x-intercept. The b is where the line meets the y-axis; the x-intercept needs y set to 0, which gives 6 here, not -3.

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)
From slope-intercept form
Find the x- and y-intercepts of y=3x−12 → (4,0) and (0,−12)

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.

Pre-Algebra is usually taken around 7th or 8th 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 3: both intercepts from the equation, graph a line from its intercepts and from slope-intercept form. 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.