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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
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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