Question

Find the slope of the line that is parallel and perpendicular to each of the following equation.

EQUATION: 2x – 2y = -6
WORK:
PARALLEL SLOPE:
PERPENDICULAR SLOPE:

Answer 1

Set it equal to y

Answer 2

Ok so I have a table full of these problems, and just need smeone to show me how to do one and I got the rest !

Answer 3

ok
-2y=-2x-6

Answer 4

-y=-x-3

Answer 5

y=x+3

Answer 6

@texaschic101 you're a great teacher, why don't you take this one

Answer 7

you got it ....thanks

Answer 8

Uhm, @aprilsages looks like you got it..

Answer 9

so the slope would be 0, but how do I find the slope of the line that is parallel and perpendicular to the equation?

Answer 10

put the equation in y = mx + b form...
2x - 2y = - 6
-2y = - 6 - 2x
y = (-2x - 6)/-2
y = x + 3
For a parallel line, the slope is the same....so the slope for this is 1.
Do you understand ?

Answer 11

if there is no number in front of x, it is 1.....always. The same with y, if there is no number in front of it, it is 1.

Answer 12

ok got it

Answer 13

so the slope for parallel line is the same as the slope in the original equation, which is 1

Answer 14

but how do I find the line that's perpendicular

Answer 15

perpendicular slopes are the negative reciprocals

Answer 16

now, the perpendicular line. The slope for the perpendicular line is the negative reciprocal.

Answer 17

what does that mean, negative opposites?

Answer 18

what is the negative reciprocal of 1 ?

Answer 19

-1

Answer 20

example.....2.....negative reciprocal is - 1/2

Answer 21

\[x=-\frac{ 1 }{ x }\]
This is a negative reciprocal

Answer 22

o

Answer 23

so it would be 1=-1/1

Answer 24

the negative reciprocal would be -1

Answer 25

-1/1.......rise -1, run + 1.....@Luigi0210 ...would it just be -1 or -1/1

Answer 26

what?

Answer 27

@Luigi0210 ........

Answer 28

it's -1

Answer 29

thats what I thought....just making sure.....thank you Luigi...your a good person

Answer 30

Haha, thank you, you are too :P

Answer 31

wait so am i using the formula x=-1/x to find all the perpendicular slopes?

Answer 32

you are using the negative reciprocal........for instance -3.....parallel would be -3, perpendicular would be 1/3.

Answer 33

-3 is the same as -3/1....so flip it and make it positive

Answer 34

so if it were 3 i'd flip it 1/3 and make it negative,
-1/3?

Answer 35

so for all of them I just flip it and make it positive?

Answer 36

3/1...negative reciprocal is - 1/3..
No....only make it positive if it is negative.....if it is positive, make it negative....make it the opposite

Answer 37

ok so flip it and make it opposite?

Answer 38

let me show you...
this is just for perpendicular...
slope 4.......negative reciprocal is - 1/4
slope -5.....negative reciprocal is 1/5
flip it and change the sign

Answer 39

yes....flip it and make it opposite

Answer 40

got it thanks so much!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 41

slope intercept form is y=mx+b right?

Answer 42

your welcome...remember parallel is the same and perpendicular, you flip it and make it opposite. You first have to put it in y = mx + b form.
Got it ?

Answer 43

yes got it :)

Answer 44

ty you r awesome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 45

if you have any more troubles with it, just flag me or Luigi, he is good. We will be happy to help :)

Answer 46

Ok thank you so much will do!!!!!!!!!!!!!!

Answer 47

well I'm not good.. only she is :P

Answer 48

yes you are.....

Answer 49

you both rock @Luigi0210 @texaschic101

Answer 50

ty so much!!!!!!!!!!!!!!!!!!!!!!!!