Question

What is the equation of the line perpendicular to the line y=3x+2 and passing through the point (3, -4)

A: y=3x-4
B: y=3x-2
C: y=-(1/3)x-5
D: y=-(1/3)x-3

HELP

Answer 1

D: y= -(1/3)x -3

Explanation:

`(3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = (-1)/(m_1) \\m_2 = (-1)/(3) \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -(1)/(3) (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-(1)/(3)x -3`