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What is the equation of the line PQ?

Mathematics
WAEC 1994

What is the equation of the line PQ?

  • A. y = x - 5
  • B. y = x + 3
  • C. y = x + 5
  • D. y = 2x + 3
  • E. y = 2x - 3
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Correct Answer: Option C
Explanation

The points P(-2, 3) and Q(2, 7) are on the line.

Gradient of the line = \(\frac{7 - 3}{2 - (-2)}\)

= \(\frac{4}{4}\)

= 1

y = x + b

To find the intercept, we have

7 = 2 + b or 3 = -2 + b.

Solving for b, we get b = 5.

\(\therefore\) The line is y = x + 5.


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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