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Linear functions practice

Graphing lines from an intercept and point worksheets

Construct eight lines from a supplied y-intercept and one ordered pair. Choose graphing alone or also find the slope and equation, with worked keys and completed graphs.

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Treat the supplied y-intercept as a point with x = 0. Use it and the other point to find the line, then complete the requested graph, slope or equation.

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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

Determine a line from its y-axis crossing and another point.

Worked example

The y-intercept is −1 and the line passes through (2, 3). Find the equation.

m = (3 − (−1))/(2 − 0) = 2, so y = 2x − 1.

The y-intercept supplies (0, −1). The two points determine a rise of four and a run of two, so the slope is two.

Teaching notes

Make the practice count

  • Write the intercept as an ordered pair before calculating.
  • Check that the other point has a different x-coordinate.
  • Show both given points on the graph.
  • Use the supplied point to check the final equation.

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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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Configured PDF · Graphing Lines from an Intercept and Point · US Letter

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Math SheetNameScore/ 8TeacherDateGraphing Lines from an Intercept and PointUse the y-intercept and point to complete each task.1.y-intercept: 0 Point: (-1, -3)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:2.y-intercept: -3 Point: (-3, 3)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:3.y-intercept: 4 Point: (-3, -4)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:4.y-intercept: 2 Point: (-4, 4)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:5.y-intercept: 0 Point: (-1, -1)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:6.y-intercept: 2 Point: (-1, 5)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:7.y-intercept: 3 Point: (-2, 0)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:8.y-intercept: 1 Point: (3, -1)-5-5-4-4-3-3-2-2-1-11122334455Slope:Equation:math-sheet.comPage 1 / 1

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