Question

What is the slope of any line perpendicular to the line passing through `(6,-4)` and `(3,-13)`?

Answer 1

The slope of perpendicular line is `-3`

Explanation:

The slope of the line passing through `(6,-4) and (3,-13)` is `m_1= (y_2-y_1)/(x_2-x_1)= (-13+4)/(3-6)=(-9)/-3 =3`

The product of slopes of two perpendicular lies is `m_1*m_2=-1`

`:. m_2= (-1)/m_1= - 1/3`

The slope of perpendicular line is `-3` [Ans]