Find the gradient of the line joining the points (3, 2) and (1, 4)
A
3/2
B
2/1
C
-1
D
3/2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Gradient of line joining points (3, 2), (1, 4)
Gradient = \(\frac{\text{Change in Y}}{\text{Change in X}}\)
= \(\frac{y_2 - Y_1}{x_2 - x_1}\)\)
(X1, Y1) = (3, 2)
(X2, Y2) = (1, 4)
Gradient = \(\frac{4 − 2}{1 + 3}\)
= \(\frac{2}{-2}\)
= −1
Source: Myschool Past Questions Archive (Record #46362)