What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)?

Solution (By Examveda Team)

Slope of the line passing through the point (-5, 1) & (-2, 0)
$${m_1} = \frac{{0 - 1}}{{ - 2 - \left( { - 5} \right)}} = \frac{{ - 1}}{3}\,\,\,\,\,\left[ {m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}} \right]$$
Slope of the 1^st line $$ = \frac{{ - 1}}{{{m_1}}} = \frac{{ - 1}}{{\left( {\frac{{ - 1}}{3}} \right)}} = 3$$
(∴ If 2 lines are ⊥ then their slope m₁ × m₂ = -1)