SOLUTION: what is the equation of the line that contains the point (-1,-2) and is perpendicular to the line determined by 2x-3y=6?
Algebra.Com
Question 516311: what is the equation of the line that contains the point (-1,-2) and is perpendicular to the line determined by 2x-3y=6?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
2 x -3 y = 6
Find the slope of this line
-3 y = -2 x + 6
Divide by -3
y = 0.667 x + -2
Compare this equation with y=mx+b
slope m = 0.67
The slope of a line perpendicular to the above line will be the negative reciprocal -1.5
m1*m2=-1
The slope of the required line will be
m= -1 1/2 ,point ( -1 , -2 )
Find b by plugging the values of m & the point in
y=mx+b
-2 = 1.50 + b
b= -3.5
m= -3/2
The required equation is y=-3/ 2 x-7/ 2
m.ananth@hotmail.ca
RELATED QUESTIONS
what an equation of the line that contains the point (3,-1) and is perpendicular to the... (answered by solver91311)
what is the equation of the line perpendicular to -8x+2y=-2 that contains point... (answered by checkley75)
Find the equation of the line that contains the point (0,5) and is perpendicular to the... (answered by janinecb)
write the equation of the line that contains the point (-3,4) and is perpendicular to the (answered by Greenfinch,ewatrrr)
having a hard time answering this question.
Find the equation of the line that contains (answered by ewatrrr)
Find the equation of the line that contains the point
P(2, 3)
and is perpendicular... (answered by Alan3354,Boreal)
Find the point slope form of the equation of the line that is perpendicular to
2x-3y=4... (answered by Boreal,Cromlix)
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)