SOLUTION: Consider the equation 3x+5y=6 a) Give the equation of a line parallel to the above line. b) Give the equation of a line perpendicular to the above line.

Algebra ->  Linear-equations -> SOLUTION: Consider the equation 3x+5y=6 a) Give the equation of a line parallel to the above line. b) Give the equation of a line perpendicular to the above line.      Log On


   



Question 605206: Consider the equation 3x+5y=6 a) Give the equation of a line parallel to the above line.
b) Give the equation of a line perpendicular to the above line.

Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
3x+5y=6
5y= -3x+6
/5
y=(-3/5)x+(6/5)
The slopes of parallel lines are same. m= (-3/5)
Since no point is given we may say that the parallel line will have an equation
y=(-3/5)x+c
The perpendicular line will have a slope of (5/3)
The equation will be y= (5/3)x+c