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What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is 2 ?

What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is 2
3


?
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  • A -2
  • B -1
  • C 1
  • D 2
Correct Answer: Option D
Explanation:
Gradient = y2 - y1
x2 - x1



[table]2
3



=
4-p

p-(-1)
[/table]


[table]2
3



=
4-p

p+1
[/table]



3(4-p) = 2(p+1)
12 - 3p = 2p + 2
12 – 2 = 2p + 3p
10 = 5pp = 10
5




= 2

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