Question

If the line joining (4, 1) and (p, 3) is perpendicular to the line joining (1, 6) and (-1, -2), then the value of |p| is

Answer 1

4

Answer 2

The slopes of the two lines are calculated. The condition for perpendicular lines ($m_1 m_2 = -1$) is applied. Solving the resulting equation for $p$ yields $-4$. The absolute value of $p$ is then found to be $4$.