Question

tell wether each pair of lines is parallel perpindicular or neither.
EF with slope=3 and GH with slope =-1

Answer 1

What do you know about the slopes of a pair of parallel lines?

Answer 2

you haveto put in y=mx+b??

Answer 3

At this moment, it's really only the slopes that matter.... specifically, for a pair of lines to be parallel, what must be true about their slopes?

Answer 4

that they will intercect

Answer 5

That contradicts everything about being parallel D:

Answer 6

If the slopes are equal, they are parallel

Take one slope, take \(m_1=3\), \(m_1m_2=-1\)

\(m_2 \) is -1/3, and \(m_2\) is not -1, which means it is not perpendicular to each other

Answer 7

so they are equal

Answer 8

Yes, for two lines to be parallel, their slopes must be equal... now ARE these slopes equal?

Answer 9

no

Answer 10

So they can't be parallel.
Are they perpendicular?

Answer 11

yes bc they intersect

Answer 12

wait no its neither

Answer 13

Not all intersecting lines are parallel.

Answer 14

We have to be sure of ourselves...
for two lines to be perpendicular, the product of their slopes must be -1.

What's the product of the two slopes?

Answer 15

3 and -1

Answer 16

Yeah, those are the two slopes... what's their product? lol...
Multiply them... you get...?

Answer 17

-3

Answer 18

Which is NOT -1.
Therefore, they are not perpendicular neither.

And there you have it, not parallel, not perpendicular ^_^

Answer 19

thanks what about 2/3 and -3/2

Answer 20

Well first off, they're not equal, are they?

Answer 21

would that be perpindicular

Answer 22

What's their product?

Answer 23

no

Answer 24

idk

Answer 25

Product. Multiply them. What do you get?

Answer 26

-6/6

Answer 27

-1

Answer 28

Which means...

Answer 29

they are perpindicular

Answer 30

That's right.

Answer 31

thnaks