SOLUTION: which equation represents a line perpendicular to the line whose equation is 2x+3y=12?

Algebra ->  Linear-equations -> SOLUTION: which equation represents a line perpendicular to the line whose equation is 2x+3y=12?       Log On


   

Question 251941: which equation represents a line perpendicular to the line whose equation is 2x+3y=12?
Found 2 solutions by richwmiller, checkley77:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is -2/3 which means it slants down from left to right.
A line perpendicular would slant up so would have a slope of 3/2=1.5
(3/2)*(-2/3)=-1
From the wording of the question, it appears there should be some choices.
What are the choices?
There are an unlimited number of possible equations for lines perpendicular (or parallel for that matter).

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3y=12?
3Y=-2X+12
Y=-2X/3+12/3
Y=-2X/3+4 (RED LINE)
THIS LINE HAS A SLOPE=-2/3.
ALL PERPENDICULAR LINES WILL HAVE A SLOPE=3/2.
ONE SUCH LINE WOULD BE Y=3X/2+4 (GREEN LINE).
+graph%28+200%2C+200%2C+-6%2C+5%2C+-6%2C+5%2C+-2x%2F3+%2B4%2C+3x%2F2+%2B4%29+ (graph 200x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -2x/3 +4 and 3X/2 +4).