SOLUTION: Determine which TWO equations represent perpendicular lines. (1) y = 2x - 9 or (2) y = 1/2x + 9 or (3) y = -1/2x + 9 (4) y = 1/2x - 9

Algebra ->  Test -> SOLUTION: Determine which TWO equations represent perpendicular lines. (1) y = 2x - 9 or (2) y = 1/2x + 9 or (3) y = -1/2x + 9 (4) y = 1/2x - 9      Log On


   

Question 45126This question is from textbook
: Determine which TWO equations represent perpendicular lines.
(1) y = 2x - 9 or (2) y = 1/2x + 9 or (3) y = -1/2x + 9 (4) y = 1/2x - 9 This question is from textbook

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Determine which TWO equations represent perpendicular lines.
(1) y = 2x - 9
SLOPE=2
or (2) y = 1/2x + 9
SLOPE=1/2.....PRODUCT=2*1/2=1...NO
or (3) y = -1/2x + 9
SLOPE=-1/2.....PRODUCT=2*-1/2=-1...YES
(4) y = 1/2x - 9
SLOPE=1/2.....PRODUCT...=2*1/2=1...NO
FOR LINES TO BE PERPENDICULAR,PRODUCT OF SLOPES=-1
SO Y=2X-9 AND Y=(-1/2)X+9 ARE PERPENDICULAR