SOLUTION: 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
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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): You can put this solution on YOUR website!
(1)
(2)
Divide both sides of (1) by
(1)
Divide both sides of (2) by
(2)
The 1st equation has the same value of
no matter what is from minus
infinity to plus infinity. It is a
vertical line at
The 2nd equation has the same value of
no matter what is from minus
infinity to plus infinity. It is a
horizontal line at
------------------
The lines are therefore perpendicular
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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