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What is the value of p if the gradient of the l... - JAMB Mathematics 2009 Question

What is the value of p if the gradient of the line joining (-1,p) and (p,4) is (\frac{2}{3})?

A
-2
B
-1
C
1
D
2
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Correct Option: D

(\frac{y_1 - y_o}{x_1 - x_o}) = m

(\frac{4 - p}{p + 1}) = (\frac{2}{3})

2p + 2 = 12 - 3p

5p = 10

p = (\frac{10}{5})

= 2

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