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The gradient of the line joining the points P(2, -8) and Q(1, y) is -4....

Mathematics
WAEC 2024

The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y

  • A. 2
  • B. 4
  • C. -4
  • D. -3
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Correct Answer: Option C
Explanation

P(2, -8) and Q(1, y)

Gradient of slope(m) = \(\frac{y_2 - y_1}{x_2 - x_1}\)

- 4 = \(\frac{y - (-8))}{1 - 2}\)

-4 = \(\frac{y + 8}{- 1}\)

cross multiplying

4 = y + 8

y = 4 - 8 = -4 


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