JAMB - Mathematics (2009 - No. 30)

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

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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