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Linear functions practice

Finding slope from graphs worksheets

Read eight graphed lines and find each exact slope. Use the coordinate scale to compare rise and run, then check a separate answer key with worked calculations.

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Choose two grid points on each line. Calculate the vertical change divided by the horizontal change, keeping the same point order.

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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.

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Learning objective

What this activity builds

Calculate an exact rate of change from two readable points on a line.

Worked example

A line passes through (−2, −1) and (2, 1). What is its slope?

m = (1 − (−1)) ÷ (2 − (−2)) = 2/4 = 1/2.

Moving four units right raises the line by two units. The slope is positive because the line rises from left to right.

Teaching notes

Make the practice count

  • Choose points where the line crosses grid intersections.
  • Read the axis labels before counting squares.
  • Draw a small rise-and-run triangle on a spare graph.
  • Use the same direction when subtracting both coordinates.

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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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Math SheetNameScore/ 8TeacherDateFinding Slope from GraphsFind the exact slope of each graphed line.1.-5-5-4-4-3-3-2-2-1-11122334455Slope:2.-5-5-4-4-3-3-2-2-1-11122334455Slope:3.-5-5-4-4-3-3-2-2-1-11122334455Slope:4.-5-5-4-4-3-3-2-2-1-11122334455Slope:5.-5-5-4-4-3-3-2-2-1-11122334455Slope:6.-5-5-4-4-3-3-2-2-1-11122334455Slope:7.-5-5-4-4-3-3-2-2-1-11122334455Slope:8.-5-5-4-4-3-3-2-2-1-11122334455Slope:math-sheet.comPage 1 / 1

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