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})
Correct Answer: Option C
Explanation
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})