A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
A
\(\frac{3}{5}\)
B
\(\frac{2}{3}\)
C
\(\frac{3}{2}\)
D
\(\frac{5}{3}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Let: (x1, y1) = (1, 2)
(x2, y2) = (5, 8)
The gradient m of \(\bar{PQ}\) is given by
m = \(\frac{y_2 y_1}{x_2 - x_1}\)
= \(\frac{8 - 2}{5 - 1}\)
= \(\frac{6}{4}\)
= \(\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #46117)