Mathematics 2009 JAMB Past Questions - Question 32: What is the value of P if the gradient of a line joining (-1,p)and (p,4) is 2/3?

Correct Answer

D

Explanation

4-p/p+ 1 = 2/3 = 12 – 3p = 2p + 2 , 1=5p , 2= pThe gradient of a line is given by the formula:Gradient = (change in y) / (change in x)In this case, we have two points (-1, p) and (p, 4) on the line. The change in y is 4 - p, and the change in x is p - (-1) = p + 1.Given that the gradient is 2/3, we can set up the equation:2/3 = (4 - p) / (p + 1)To solve for p, we can cross-multiply:2(p + 1) = 3(4 - p)2p + 2 = 12 - 3p5p = 10p = 2Therefore, the value of p is 2.