The gradient of a perpendicular to the line joining the points (-1, 3) and (3, 1)
A
-2
B
4
C
2
D
-2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
m\(_1\) = \(\frac{y_2 - y_1}{x_2 - x_1}\)
The given points are -1, 3 and 3, 1
m\(_1\) = \(\frac{1 - 3}{3 - (-1)}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)
The perpendicular gradient(m_2\) = m\(_1\) x m\(_2\) = -1
= - \(\frac{1}{2}\) x m\(_2\) = -1
m\(_2\) = -1 x - \(\frac{2}{1}\) = 2
Source: Myschool Past Questions Archive (Record #78163)