Question

Write the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, −1).

Answer 1

@tcarroll010 @danielcox74 @wesdg1978 @GoldPhenoix @emcrazy14 @zepdrix @zackeria_x333 @damien @FriedRice @theEric

Answer 2

that is equal to y = -3x + 7 , the slope is -3 so to be perpendicular the slope needs to be opposite reciprocal, so what is the opposite reciprocal of -3

Answer 3

well you know that when the line is perpendicular the slope has to be the complete opposite and if you want to get the y intercept you just plug in the points.

Answer 4

-3/1?

Answer 5

no because when it becomes slope intercept form it become y = -3x + 7

Answer 6

so it changes into 1/3 the slope

Answer 7

so the equation turns into y = 1/3x + b

Answer 8

then just plug in the points and the one that you are left with is the y intercept or b

Answer 9

so now what do I do?

Answer 10

what is the y intercept??

Answer 11

(-1)=1/3(6) + b

Answer 12

im not sure

Answer 13

so the equation turns out to be y = 1/3x -3

Answer 14

ok im still confused hold on

Answer 15

why??

Answer 16

and on what?

Answer 17

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
lets try different one I have a math test today so I wanna study really good

Answer 18

ok so what do you first of all

Answer 19

find the slope?

Answer 20

ok what is the slope of the perpendicular equation?

Answer 21

2/1?

Answer 22

no you have to change the equation entirely opposite

Answer 23

I mean slope

Answer 24

o so 1/2?

Answer 25

no negative 1/2

Answer 26

I told you entirely

Answer 27

opposite

Answer 28

o ok I get that then what do I do

Answer 29

any body home?

Answer 30

hello?????

Answer 31

sorry

Answer 32

and then you see that you have points (6,3) right?

Answer 33

yes

Answer 34

and the equation is y = -1/2x + b right. you know that already, right?

Answer 35

yes

Answer 36

so what do you do next?

Answer 37

find y?

Answer 38

yes but how?

Answer 39

do you know?

Answer 40

no

Answer 41

ok just plug in the coordinates (6,3) into the equation y = -1/3x

Answer 42

and then the answer will be the b

Answer 43

be the b?

Answer 44

b is the y intercept in the equation y = mx + b

Answer 45

o

Answer 46

so plug in the points and tell me what you got

Answer 47

how do you do that?

Answer 48

just plug in the points into the equation y = -1/3x + b
and like (6,3) goes in like 3 = -1/3(6) + b

Answer 49

are you still confused?

Answer 50

omg I get it x and y go to x and y yes!

Answer 51

ok then just do the way you will to get b

Answer 52

?

Answer 53

you have the equation 3 = -1/3(6) + b right you just need to
do the equation like 3 = -2 + b and then move the negative 2 to the other side
then you will get b = 5

Answer 54

do you get it?

Answer 55

y = −one halfx + 6

Answer 56

is this a new question?

Answer 57

no one of the answers?????

Answer 58

no it is y = -1/3x + 5

Answer 59

that's not one of them?

Answer 60

I mean y = -1/2x + 6

Answer 61

yes you are right!

Answer 62

we have a winner ^

Answer 63

ding!!!! ding!!!! ding!!!

Answer 64

do you get it now?

Answer 65

not really can you show me one more?
Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).??

Answer 66

buts its not that hard right just alot of work

Answer 67

parallel lines have the same slope so you don't have to do so much on this question.
Do you know what is the equation for this equation.

Answer 68

hold on let me see if I can do that one

Answer 69

3= -1/2(5) + b??

Answer 70

no parallel lines have same slope but if it was perpendicular your doing it right.

Answer 71

3 = 2(5) + b

Answer 72

wd do I work that out?

Answer 73

how*

Answer 74

you know that your question said that you want a parallel equation right?

Answer 75

yes!

Answer 76

so the slope has to be similar to the original slope which is 2 so you don't do anything to it

Answer 77

so equation stays like y = 2x + b

Answer 78

ok so now I ??

Answer 79

just put in the points and you will get b or y intercept

Answer 80

ok 3=2(5) + b

Answer 81

yes what is b?

Answer 82

a letter...just kidding

Answer 83

ok so what is it?

Answer 84

I don't know how to work it out is it -13?

Answer 85

that's not right

Answer 86

no its like this 3 = 2(5) + b right
then just change it like this
3 = 10 + b then just move it like this
3 - 10 = 10 - 10 + b
-7 = b

Answer 87

y = 2x − 7??

Answer 88

yes

Answer 89

thank you lol u have helped alot

Answer 90

ok do well on your test and don't forget about parallel and perpendicular equations

Answer 91

you get confused too much on those