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Question 210645: Please help me understand this. I understand everything except this one.
Determine whether the graphs of the given pair of lines are perpendicular.
2x = 3
-3y = 6
The book says they are perpendicular, but I can't figure out why this is true. Thanks for your help!
Found 3 solutions by Uniquaa, josmiceli, Earlsdon:
Answer by Uniquaa(1)   (Show Source):
You can put this solution on YOUR website! Wow I just thought about this one, so I guess I can answer my own questions. I sometimes overthink things, because I have math anxiety. just let me know if this is right:
2x=3
x=3/2 (This is a vertical line)
-3y = 6
y=-2 (This is a horizontal line)
They both meet each other at a 90 degree angle, which makes them perpendicular
Answer by josmiceli(19441)  (Show Source):
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!  Divide both sides by 2.
 This is the equation of a vertical line passing through Notice that this equation does not include the y-variable and this means that any point that has and any value of y will lie on the line.
For example, some of the points could include:
(3/2, 7), (3/2, 78), (3/2, 309), etc. The x-value is always the same but the y-value can be any value you choose.
 Divide both sides by -3.
 This the equation of a horizontal line passing through
This one works just like the previous one only the points could include:
(4, -2), (46, -2), (78, -2), etc. The y-value is always the same but the x-value can be any value you choose.
If you were to plot these points on your coordinate graph paper and join them together, you would see that they make a vertical line in the first case and a horizontal line in the second case.
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