SOLUTION: What is the equation of the line that passes through (-2,0) and is perpendicular to y=3x+1?

Question 476460: What is the equation of the line that passes through (-2,0) and is perpendicular to y=3x+1?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1 y = 3 x + 1
Divide by 1
y = 3 x + 1
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 -0.33
m1*m2=-1
The slope of the required line will be -0.33 =-1/3

m= - 1/3 ,point (-2,0)
Find b by plugging the values of m & the point in
y=mx+b
0 = 2/3 + b
b= - 2/3
m= - 1/3
The required equation is y=(-1/ 3)x- 2/ 3
m.ananth@hotmail.ca

RELATED QUESTIONS
What is the equation of the line that passes through (-4,-1) that is PERPENDICULAR to the (answered by ewatrrr)

what is the equation of a line that passes through (-7, 1) and is parallel to y = x + 4 (answered by Fombitz)

Write the equation of the line that passes through (3,1( and is perpendicular to... (answered by robertb)

A line passes through the point (-2,4), and its y-intercept is (0,-6). What is the... (answered by mananth)

what is the equation of the line that passes through (0,4) and is perpendicular to y =... (answered by Fombitz)

Write an equation of the line that passes through the given point and is perpendicular to (answered by stanbon)

Find the equation of the line that passes through the point (4, -1) and is perpendicular (answered by solver91311)

Write the equation of a line that passes through (0,5) and is perpendicular to... (answered by Boreal)

What is the equation of the line that is perpendicular to -x + y = 7 and passes through... (answered by rothauserc)