Question

If you are finding the line perpendicular to x + 3y = 5, what is the slope of the perpendicular line?

Answer 1

The slope of perpendicular line is `3`

Explanation:

`x +3y=5 or 3y = - x +5 or y = -1/3x +5/3`. Comparing with standard equation `y = mx +c` we get slope `m_1 = -1/3`

The product of slopes of the perpendicular lines is `-1 :. m_1*m_2= -1 or m_2 = -1/m_1= -1/(-1/3) = 3`

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