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Cambridge IGCSE Mathematics practice

exam practice - Create straight-line graphs for linear equations that are presented in various forms, such as y = -2x + 5, y = 7 - 4x, or 3x + 2y = 5. - Drawing linear graphs

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2

Paper

4

Marks

Topic

Drawing linear graphs

Exam-style question

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Paper 2Core or Extended Mathematics4 marks

Graphing a linear equation given in slope-intercept form

Description

Graph the equation y = -2x + 5

You are given the linear equation y = -2x + 5. Use this equation to plot the graph on a coordinate plane.

  1. a

    Plot Plot the graph of the equation y = -2x + 5 by finding the y-intercept and one other point using the slope. Show your working.

    Aim for approximately 4 distinct marking points.

    [4]

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  • Topic focus: Drawing linear graphs.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Drawing linear graphs

Paper 2Core or Extended Mathematics4 marks

Description

Rearrange and identify slope and intercept

Given the linear equation 3x + 2y = 5, rearrange it into the form y = mx + c. Then state the slope and y-intercept.

  1. a

    Determine Rearrange 3x + 2y = 5 into y = mx + c form and state the slope and y-intercept.

    Aim for approximately 4 distinct marking points.

    [4]