Question

Determine whether the two graphs of the two equations are perpendicular

x+2y=5
2x+4y=9

Answer 1

You need to figure out the slope of each equation. You can do this by putting them into slope-intercept form y = mx + b

Then compare them. If they are negative reciprocals of each other, then they are perpendicular.

Answer 2

id say no

Answer 3

I put them into a graph, and I still do not know. The lines are very close together

Answer 4

http://desmos.com/calculator/?eqs=ACU3QiUyMnN0EGF0ZXMACSUzQQglNUIEAzIydGUAeHQlMjh5JTMARCUyOSpkaXZgaXNpb24AExAaMVEAFyUyQxAONAgOOWoqEA94CA8yACAAV26AL2ElMjB0bwAFEmoIZzJDTBZ0cnWCZQAzMTExOTMACCEEBDAuNzUACyU1DQSpMAA3BA0yMjJwKmkEDDUAnEMMHC1JgG5maW5pdHkEGP8IYSQRGCkACQADACAIURCugwCZyLBmYWxzZQCRoDExMTQ5AAgzAAT-MPyxBMIYpQAJDAMAtAGrQGV0dGluZwlGM0JBDb94bWluBDMzEkEABi0xHSV4bWGlAYgyBdYyMiAYeVQxAnlQMWNoa19sYXhiZWwQeBGoAG8EGmc4cmlkAAsAZywYYXgAZXMlMjIlM0EAdHJ1ZSUyQyUAMjJncmFwaF8AdHlwZSUyMiUAM0ElMjJkZWYAYXVsdCUyMiUAN0QlN0QA#

check that out

Answer 5

They are perpendicular if mm' = -1.

Answer 6

Can you tell me if I am right by saying no, they are not perpendicular

Answer 7

Although I'm not a 100% sure, I'd say it's no.

Answer 8

I agree, they are parallel. When solving for (x) you will find both have matching slopes of -1/2. Therefore they will never be perpendicular to each other.

Answer 9

x + 2y = 5
2y = 5 - x
y = 5/2 - x/2 Here, slope is equal to -1/2

2x + 4y = 9
4y = 9 - 2x
y = 9/4 - x/2 Here, slope is equal to -1/2

Since the slopes are equal the lines are parallel.

For them to be perpendicular, one would have to have a slope of 2.