Worksheets · Algebra 1

Point-slope form worksheet

The form is y - y1 = m(x - x1): the slope, and one point the line goes through, copied into their places. Easy and medium give both. Hard gives two points, so the slope has to be worked out first, and either point can then be used. The other half of each sheet rewrites point-slope form as y = mx + b.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Point-Slope Form

Date Period

Write each equation in the form asked for.

  1. Write in point-slope form

    Write the point-slope form of the line through (8,−5) with slope −52.
  2. Write the point-slope form of the line through (−4,3) with slope −5.
  3. Write the point-slope form of the line through (−6,−7) with slope 72.
  4. Write the point-slope form of the line through (6,7) with slope 9.
  5. Write the point-slope form of the line through (8,−8) with slope 23.
  6. Write the point-slope form of the line through (−3,3) with slope 32.
  7. Write the point-slope form of the line through (−5,2) with slope 6.
  8. Write the point-slope form of the line through (7,−3) with slope 3.
  9. Write the point-slope form of the line through (−6,−2) with slope 5.
  10. Write the point-slope form of the line through (6,−3) with slope −4.

  1. Rewrite point-slope form as slope-intercept

    Write in slope-intercept form:
    y+2=32(x+2)
  2. Write in slope-intercept form:
    y+5=23(x−6)
  3. Write in slope-intercept form:
    y+2=−12(x−6)
  4. Write in slope-intercept form: y=−2(x+4)
  5. Write in slope-intercept form:
    y=32(x+6)
  6. Write in slope-intercept form:
    y+7=−12(x+2)
  7. Write in slope-intercept form: y+5=−6(x−1)
  8. Write in slope-intercept form: y−6=3(x+4)
  9. Write in slope-intercept form:
    y−2=12(x+6)
  10. Write in slope-intercept form:
    y−2=12(x−4)

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

Sigma Prep · sigmaprep.io/worksheets

Name

Point-Slope FormAnswer keyVersion 1

Date Period

Write each equation in the form asked for.

  1. Write in point-slope form

    Write the point-slope form of the line through (8,−5) with slope −52.y+5=−52(x−8)
  2. Write the point-slope form of the line through (−4,3) with slope −5.y−3=−5(x+4)
  3. Write the point-slope form of the line through (−6,−7) with slope 72.y+7=72(x+6)
  4. Write the point-slope form of the line through (6,7) with slope 9.y−7=9(x−6)
  5. Write the point-slope form of the line through (8,−8) with slope 23.y+8=23(x−8)
  6. Write the point-slope form of the line through (−3,3) with slope 32.y−3=32(x+3)
  7. Write the point-slope form of the line through (−5,2) with slope 6.y−2=6(x+5)
  8. Write the point-slope form of the line through (7,−3) with slope 3.y+3=3(x−7)
  9. Write the point-slope form of the line through (−6,−2) with slope 5.y+2=5(x+6)
  10. Write the point-slope form of the line through (6,−3) with slope −4.y+3=−4(x−6)

  1. Rewrite point-slope form as slope-intercept

    Write in slope-intercept form:
    y+2=32(x+2)    y=32x+1
  2. Write in slope-intercept form:
    y+5=23(x−6)    y=23x−9
  3. Write in slope-intercept form:
    y+2=−12(x−6)    y=−12x+1
  4. Write in slope-intercept form: y=−2(x+4)y=−2x−8
  5. Write in slope-intercept form:
    y=32(x+6)    y=32x+9
  6. Write in slope-intercept form:
    y+7=−12(x+2)    y=−12x−8
  7. Write in slope-intercept form: y+5=−6(x−1)y=−6x+1
  8. Write in slope-intercept form: y−6=3(x+4)y=3x+18
  9. Write in slope-intercept form:
    y−2=12(x+6)    y=12x+5
  10. Write in slope-intercept form:
    y−2=12(x−4)    y=12x

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

How to do these

Write the point-slope form of the line through (3,−2) with slope 4

  1. The point is (x1, y1), so x1 = 3 and y1 = -2.
  2. Copy them in: y - (-2) = 4(x - 3).
  3. Tidy the double sign.

The answer is y+2=4(x−3).

Where students go wrong

Flipping the signs. The form subtracts the coordinates, so a point with a negative coordinate turns into a plus: through (3, -2) it is y + 2, not y - 2.

Also called point slope form, y - y1 = m(x - x1) or equation from a point and a slope.

What you can put on this worksheet

Point-slope form
Write the point-slope form of the line through (1,−5) with slope 4. → y+5=4(x−1)
Point-slope to slope-intercept form
Write in slope-intercept form: y=4(x−1) → y=4x−4

Questions about these worksheets

Yes. Every point-slope form 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 point-slope form 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 2: point-slope form and point-slope to slope-intercept form. Tick as many as you want and set how many of each, or let it spread them evenly.

Flipping the signs. The form subtracts the coordinates, so a point with a negative coordinate turns into a plus: through (3, -2) it is y + 2, not y - 2.