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AS 1 Pure Mathematics

Quick questions on Coordinate geometry and graphs: straight lines, circles and curve sketching - CCEA A-Level Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the straight line?
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Two lines are parallel when their gradients are equal, m1=m2m_1 = m_2. They are perpendicular when the product of their gradients is −1-1, that is m1m2=−1m_1 m_2 = -1, so each gradient is the negative reciprocal of the other.
What is q1?
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Find the gradient of the line perpendicular to 3x+y=73x + y = 7. [2 marks]
What is q2?
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Write down the centre and radius of (x+1)2+(y−4)2=9(x + 1)^2 + (y - 4)^2 = 9. [2 marks]
What is q3?
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Describe the transformation taking y=x2y = x^2 to y=x2−5y = x^2 - 5. [1 mark]

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