SOLUTION: find the equation of a line that has the given properties. graph each line. contains (9,3); perpendicular to the line x+3y=-27

Question 601513: find the equation of a line that has the given properties. graph each line.
contains (9,3); perpendicular to the line x+3y=-27
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
1 x + 3 y = -27
Find the slope of this line

3 y = -1 x -27
Divide by 3
y = - 1/ 3 x + -9
Compare this equation with y=mx+b, m= slope & b= y intercept
slope m = - 1/3

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

m= 3 ,point ( 9 , 3 )
Find b by plugging the values of m & the point in
y=mx+b
3 = 27 + b
b= -24
m= 3
The required equation is y=3x-24
m.ananth@hotmail.ca

RELATED QUESTIONS
write an equationfor the line that is perpendicular to the given line and that passes... (answered by subbbu,stanbon)

Find an equation for the line with the given properties. Perpendicular to the line (answered by Alan3354)

1. What is the graph of a line that passes through (3,3), perpendicular to graph... (answered by drj)

Find the slope and equation of the line that contains the following 2 points A (3, 2) and (answered by mananth)

write the equation of the line that satisfies the given conditions. Contains the point... (answered by rothauserc)

Find the equation of a line that is perpendicular to the line x=19 and contains the point (answered by robertb)

Write an equation of a line that contains the given the given point and is parallel to... (answered by venugopalramana)

The equation of a line is given below. Find the slope of a line that is A. parallel to... (answered by Earlsdon)