Linear Relationships — O/L Mathematics

How do I practise Linear Relationships?

1 question with a worked solution

1. What is the gradient (m) and y-intercept (c) of the straight line represented by 2y - 6x = 8?
   1. A) m = 3, c = 4
   2. B) m = -3, c = 4
   3. C) m = 3, c = 8
   4. D) m = 6, c = 8
   Check my answer

   Correct answer: A) m = 3, c = 4

   Rewrite equation in y = mx + c form: 2y = 6x + 8 → y = 3x + 4. Thus, gradient m = 3 and y-intercept c = 4.

   Show worked solution

   Step 1: Start with equation: 2y - 6x = 8. Step 2: Isolate 2y: 2y = 6x + 8. Step 3: Divide entire equation by 2: y = 3x + 4. Step 4: Compare with y = mx + c: m = 3, c = 4. Answer: m = 3, c = 4.
   Modelled on: the O/L Mathematics examination pattern

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Where does Linear Relationships fit in the syllabus?

Grade 10 · Term 2