SOLUTION: The line l(1) has the equation y=3x. The line l(2) is perpendicular to l(1) and passes through the point P(0,0). Write an equation of l(2)

Algebra ->  Points-lines-and-rays -> SOLUTION: The line l(1) has the equation y=3x. The line l(2) is perpendicular to l(1) and passes through the point P(0,0). Write an equation of l(2)      Log On


   



Question 446857: The line l(1) has the equation y=3x. The line l(2) is perpendicular to l(1) and passes through the point P(0,0). Write an equation of l(2)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x
Compare this equation with y=mx+b
slope m =3

The slope of a line perpendicular to the above line will be the negative reciprocal -0.33
m1*m2=-1
The slope of the required line will be -0.33 -
m= -0.33 ,point ( 0 , 0 )
Find b by plugging the values of m & the point in
y=mx+b
0 = 0.00 + b
b= 0
m= -0.33
The required equation isy=-0.33 x