# math

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are these two lines perpendicular?

x+2y=5
2x+4y=7

How do I determine if these two are perpendicular?

• math -

it is not perpendicular is this correct?

• math -

Correct!

Perpendicular lines have slopes that are negative reciprocals of each other.

Thus perpendiculars of

y = -(1/2)x + anything

will have a form like

y = 2 + something

The two lines you specified are in fact parallel, because they have the same slope : (y = -x/2 + something)

• math -

thanks Jim

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