Cartesian coordinates and the straight line — A/L Combined Mathematics

How do I practise Cartesian coordinates and the straight line?

1 question with a worked solution

1. What is the distance between the two points A(-1, 4) and B(5, -4) in the Cartesian plane?
   1. A) 8 units
   2. B) 12 units
   3. C) 14 units
   4. D) 10 units
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   Correct answer: D) 10 units

   Using the distance formula d = √[(x₂ - x₁)² + (y₂ - y₁)²]: d = √[(5 - (-1))² + (-4 - 4)²] = √[6² + (-8)²] = √[36 + 64] = √100 = 10 units.

   Show worked solution

   Step 1: Formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]. Step 2: d = √[(6)² + (-8)²] = √(36 + 64) = √100 = 10. Answer: 10 units.
   Modelled on: the A/L Combined Mathematics examination pattern

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Where does Cartesian coordinates and the straight line fit in the syllabus?

Year 1 · Term 3