Question 73329: Find the slope of each line, and determine whether the lines are parallel, perpendicular, or neither:
a) 2x + 5y = 4; 4x + 10y = 1 My answer: Slopes are both -2/5; Parallel
b) 3x - 2y = 6; 2x + 3y = 3 My answer: Slopes are 3/2 and -2/3; Perpendicular
c) 5x - 3y = -2; 3x - 5y = -8 My answer: Slopes are 5/3 and 3/5; Perpendicular
Let me know if you need more info on how I came to my answers. These are from a homework assignment (from my teacher, not a book), which I don't think will count significantly toward my grade. I'm just curious if I got this right. I've been ill and missed some class, and my head's still woozy, so I just want to make sure I'm on-track, or whether I should try again. Thanks!
Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! 5X-3Y=-2
-3Y=-5X-2
Y=-5X/-3-2/-3
Y=5X/3+2/3 SLOPE IS 5/3
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3X-5Y=-8
-5Y=-3X-8
Y=-3X/-5/-8
Y=3X/5+5/8 THIS SLOPE IS 3/5 THUS IT IS NEITHER PARRALEL NOR PERPENDICULAR.
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