2009
Mathematics
67ca00ce0c643c71d77dee1f
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: 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
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= 2THIS WEEK's
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