MATHEMATICS

JAMB 2014 - Question 33

Mathematics 2014 JAMB Past Questions - Question 33: The gradient of the line joining (x,4) and (1,2) is 1/2.find the value of x.

The gradient of the line joining (x,4) and (1,2) is 1/2.find the value of x.
A:
B:
C:
D:
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Correct Answer

B

Explanation

To find the value of x, we can use the formula for the gradient (slope) of a line:Gradient = (y2 - y1) / (x2 - x1)Given that the gradient is 1/2 and the coordinates of the two points are (x, 4) and (1, 2), we can substitute these values into the gradient formula:1/2 = (2 - 4) / (1 - x)Simplifying the equation, we have:1/2 = -2 / (1 - x)To eliminate the fraction, we can cross-multiply:2(1 - x) = -2Expanding the equation, we get:2 - 2x = -2Now, let's isolate the variable x by moving all the terms involving x to one side of the equation:-2x = -2 - 2-2x = -4Dividing both sides of the equation by -2, we find:x = 2Therefore, the value of x is 2.