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Linear functions practice

Graphing lines from two points worksheets

Graph eight lines using two ordered pairs and a supplied y-intercept. Choose graphing alone or also calculate the slope and write an equation, with separate worked answers.

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Plot both ordered pairs and use the supplied y-intercept as a check. Draw the line; in equation mode, calculate its slope and write y = mx + b.

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A4

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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.

Both modes provide two ordered pairs and their y-intercept. Graph-only mode focuses on drawing the line; the other mode also asks for its slope and equation.

Learning objective

What this activity builds

Connect point data, an intercept and an equation that describe the same line.

Worked example

A line passes through (−2, −3) and (2, 3), with y-intercept 0. Find its equation.

m = (3 − (−3))/(2 − (−2)) = 3/2, so y = (3/2)x.

Both points give the same line and the supplied intercept confirms it passes through the origin. Substituting either pair verifies the equation.

Teaching notes

Make the practice count

  • Keep each ordered pair together while plotting.
  • Use the given intercept as an independent graph check.
  • Calculate slope in a consistent point order.
  • Extend the line across the coordinate window.

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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/ 8TeacherDateGraphing Lines from Two PointsUse the two points and given y-intercept to complete each task.1.Points: (0, 1), (1, 4) y-intercept: 1-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:2.Points: (-3, 2), (-2, 0) y-intercept: -4-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:3.Points: (-4, 0), (-2, 1) y-intercept: 2-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:4.Points: (2, -1), (4, -4) y-intercept: 2-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:5.Points: (0, -2), (-1, -3) y-intercept: -2-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:6.Points: (-1, 3), (-2, 4) y-intercept: 2-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:7.Points: (2, 1), (0, -4) y-intercept: -4-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:8.Points: (0, 0), (2, -3) y-intercept: 0-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:math-sheet.comPage 1 / 1

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