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find the value of p if the line which passes through (-1, -p) and (-2,2)...

Mathematics
JAMB 2021

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

  • A. \(\frac{-2}{7}\)
  • B. \(\frac{7}{6}\)
  • C. \(\frac{-6}{7}\)
  • D. 2
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Correct Answer: Option D
Explanation

Line:  2y+8x-17=0 

recall y = mx + c

2y = -8x + 17

y = -4x  + \(\frac{17}{2}\)

Slope m\(_1\) = 4

parallel lines: m\(_1\). m\(_2\) = -4

where Slope ( -4) = \(\frac{y_2 - y_1}{x_2 - x_1}\) at points (-1, -p) and (-2,2)

-4( \(x_2 - x_1\) ) = \(y_2 - y_1\) 

-4 ( -2 - -1) = 2 - -p

p = 4 - 2 = 2

 

There is an explanation video available below.


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Explanation Video

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