Question

18. What is the slope of a line perpendicular to y=1/3x - 2

Answer 1

The slop of line perpendicular to line y =
`(1)/(3)` x - 2 is ( - 3)

Explanation:

Given Line equation as ,

y =
`(1)/(3)` x - 2

The equation of line is y = mx + c

Slop of this line (m1) =
`(1)/(3)`

Now second line with slop (m2) is perpendicular to line first , then

(m1) × (m2) = - 1

So, (m2) =
`(-1)/(m1)`

Or , (m2) =
`(-1)/((1)/(3))`

∴ (m2) = - 3

Hence the slop of line perpendicular to line y =
`(1)/(3)` x - 2 is ( - 3) Answer