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Worksheets›Algebra 1›Linear functions & sequences›Standard and point-slope form

Standard and Point-Slope Form Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSA.CED.A.2Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Point-slope form

  1. 1.Point-slope form: slope −5, through (−3, −5)
  2. 2.Point-slope form: slope 2, through (−7, 3)
  3. 3.Point-slope form: slope −1, through (−3, −7)
  4. 4.Point-slope form: slope 2, through (5, −4)
  5. 5.Point-slope form: slope −3, through (7, −6)
  6. 6.Point-slope form: slope −2, through (−1, −8)
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Point-slope form drops a known point and the slope straight in. Standard form moves x and y to the left with whole-number coefficients: clear fractions first, then make A positive.

EasyPoint-slope form: slope −5, through (4, −1)Point-slope formMediumStandard form of y = x + 6Slope-intercept to standard formHardStandard form: the line through (−3, 8) and (−6, 17)Standard form from two points

How to solve it: a worked example

Write each line in the form asked for.

  1. StartPoint-slope form: slope 1, through (3, −7)
  2. Point-slope form: y − k = m(x − h)y + 7 = (x − 3)
  3. Answery + 7 = (x − 3)

Common mistakes to watch for

  • Sign slips in point-slope form: the point (−2, 5) gives y − 5 = m(x + 2).
  • Leaving fractions in standard form instead of multiplying through.
  • Leaving A negative: −2x + 3y = 6 is written 2x − 3y = −6.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Slope-intercept formParallel and perpendicular linesEvaluating functionsArithmetic and geometric sequencesAverage rate of change

FAQ

When is point-slope form most useful?

When you know a slope and a point that isn't the y-intercept. Plug them straight into y − k = m(x − h) without solving for b.

What are the rules for standard form?

Ax + By = C with whole-number coefficients, no common factor, and A positive (or B positive when A is 0). So y = 2/3 x + 1 becomes 2x − 3y = −3.

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix standard and point-slope form with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.