Write an equation for the line perpendicular to y = 3x – 5 that contains (4, –2).

Question

Write an equation for the line perpendicular to y = 3x – 5 that contains (4, –2).

Answer 1

 L1 :   Y = 3X -5

 

 

L2 l  : L1  , them mL2= -1/3

 

  L2 :   Y = -1/3 X + b

 

           L2 contains ( 4,-2) , then

 

            -2 = -1/3 (4) + b

 

             b = -2 + 4/3 = -2/3

 

        Y = - 1/3 X - 2/3