The gradient of a line joining (x,4) and (1,2) is \(\frac{1}{2}\). Find the value of x
A
5
B
3
C
-3
D
-5
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\text{Gradient m} = \frac{y_2 - y_1}{x_2 - x_1}\)
\(\frac{1}{2} = \frac{2 - 4}{1 - x}\)
1 - x = 2(2 - 4)
1 - x = 4 - 8
1 - x = -4
-x = -4 - 1
x = 5
Source: Myschool Past Questions Archive (Record #27022)