SOLUTION: What is the slope of the line passing through the point (3, −4) and perpendicular to the line y = 3x + 5?

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Question 521314: What is the slope of the line passing through the point (3, −4) and perpendicular to the line y = 3x + 5?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1 y = 3 x + 5
Divide by 1
y = 3 x + 5
Compare this equation with y=mx+b
slope m = 3.00

The slope of a line perpendicular to the above line will be the negative reciprocal
m1*m2=-1
The slope of the required line will be -0.33 =>-1/3

m= - 1/3 ,point ( 3 , -4 )
Find b by plugging the values of m & the point in
y=mx+b
-4 = -1.00 + b
b= -3
m= - 1/3
The required equation isy = - 1/ 3 x -3
m.ananth@hotmail.ca