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2 marksParallel and Perpendicular Lines

CSEC Mathematics · May/June 2016 · Paper 2 · Question 6(a)(i)

A diagram shows the graph of the straight line x + y = 3. Points A and B are marked on the line.

Determine the equation of the line which is parallel to the line x + y = 3 and passes through the origin.

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Other parts of this question

  1. 6(a)(ii)Determine the equation of the line which is perpendicular to the line x + y = 3 and passes through the midpoint of AB.[2 marks]
  2. 6(b)(i)Complete the table by calculating and inserting the missing values of y.[2 marks]
  3. 6(b)(ii)On the same axes used in Part (a) on page 16, draw the graph of y = x^2 - 2x – 3.[2 marks]
  4. 6(b)(iii)Using information from your graph, complete EACH of the following statements: The minimum value of y = x^2 - 2x – 3 occurs when x = (blank) and The values of x…[3 marks]

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