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

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

2
3

?

  • A.
    -2
  • B.
    -1
  • C.
    1
  • D.
    2
Correct Answer: Option D
Explanation
Gradient = y2 – y1
x2 – x1
2
3
= 4-p
p-(-1)
2
3
= 4-p
p+1

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

p = 10
5

= 2

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