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Linear functions practice

Graphing standard-form equations worksheets

Graph eight equations in standard form Ax + By = C. Choose graphing alone or also find slope and label the y-intercept, using exact fractional slopes and worked keys.

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Rearrange the equation to identify a slope and y-intercept, or find two solution points. Draw the complete line and complete the requested property fields.

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A4

Student worksheetWorksheet with answers
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Connect the calculation with the graph

Work with exact slopes and intercepts. Coordinate graphs use unit intervals from −5 to 5 on both axes, and the worked key connects the given information to the requested values, equation or completed graph.

Choose a focused mode when options are available. The settings change what the learner is given and what they must produce; the student preview and downloadable PDF use the same questions.

Learning objective

What this activity builds

Convert a standard-form equation into a readable graph of the same solution pairs.

Worked example

Graph 2x + 3y = 6.

y = −(2/3)x + 2; the line passes through (0, 2) and (3, 0).

Subtract 2x, then divide every term by 3. Both plotted points satisfy the original equation, so the transformed equation and graph describe the same relationship.

Teaching notes

Make the practice count

  • Retain the sign when moving the x-term.
  • Divide both the x-term and the constant by the y-coefficient.
  • Check an intercept directly in the original form.
  • Label the y-intercept when the selected mode requests it.

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Customize the practice

Choose your options, update the preview, then download the exact same pages.

Every coordinate grid uses the fixed −5 to 5 unit window. Graph-only modes omit computed response fields; answer editions complete every requested line or solution region.

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The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

Configured PDF · Graphing Standard-Form Lines · US Letter

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Math SheetNameScore/ 8TeacherDateGraphing Standard-Form LinesGraph each standard-form line and find any requested properties.1.3x-y=2-5-5-4-4-3-3-2-2-1-111223344552.x+y=2-5-5-4-4-3-3-2-2-1-111223344553.8x-3y=9-5-5-4-4-3-3-2-2-1-111223344554.2x+3y=9-5-5-4-4-3-3-2-2-1-111223344555.x-y=0-5-5-4-4-3-3-2-2-1-111223344556.2x+y=0-5-5-4-4-3-3-2-2-1-111223344557.8x-3y=12-5-5-4-4-3-3-2-2-1-111223344558.2x+3y=6-5-5-4-4-3-3-2-2-1-11122334455math-sheet.comPage 1 / 1

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