Question

determine wether the two lines are parallel, perpendicula, or neither
y=4x+4
y=3-1/4x

Answer 1

first, find the slope of each line

Answer 2

4x nd 3

Answer 3

slope is just a number

Answer 4

y = \(\color{red}{4}\)x + 4

Answer 5

y=3\(\color{red}{-1/4}\)x

Answer 6

those are the slopes, becoz the given lines are in form :

y = \(\color{red}{m}\)x + c

where, \(\color{red}{m}\) is the slope

Answer 7

wich m =3

Answer 8

no, m is the slope, which is the things attached to 'x'

Answer 9

not the other one, that we call constant

Answer 10

-1/4

Answer 11

thats right,

so slope of first line = 4
slope of second line = -1/4

Answer 12

now, multiply both of them

Answer 13

what u get ?

Answer 14

-4

Answer 15

check again

Answer 16

product of slopes =

\(4 \times \frac{-1}{4}\)

= ?

Answer 17

i do u multiply straight across

Answer 18

\(\cancel{4} \times \frac{-1}{\cancel{4}} \)

= ?

Answer 19

-1

Answer 20

thank god ! :)

Answer 21

so, we got the product of slopes = -1

Answer 22

so mean

Answer 23

that means, both lines are perpendicular

Answer 24

i mean ur mean i know im slow

Answer 25

here is the rules :
1) lines are perpendicular if 'product of slopes = -1'
2) lines are parallel if slopes are equal

Answer 26

slow is ok, its good coz u see things very clearly when u go slow

Answer 27

how do u know if its parallel

Answer 28

u find the slopes, first

if u get both of them equal, then the lines are parallel

Answer 29

thanks

Answer 30

np.. yw :) i knw u dont mean it when u said im so mean hehe ;p

Answer 31

im serious

Answer 32

really :'( should i work on fixing it

Answer 33

its okaay