The slope of a line is -3.Find the slope of a line that is perpendicular to this line.

Question

the slope of a line is -3. find the slope of a line that is perpendicular to this line.

Answer 1

Hi Katarina;

The slope of -3 can also be written as -3/1.

The slope of the line perpendicular to this is its negative inverse, +1/3.

Do you also need help establishing the equation?

Answer 2

 If 2 lines    L1 : m_{1 X +} b_{1  ,   L2 :} m₂ X + b₂    are per perpendicular if and only if and only if m₁₌-1/ m₂

 

 

     In this case m ₁  = - 3 , therefore; m_{2 =} 1/ 3