Question

C. Write an equation of the perpendicular to y = 3x + 1 passing through (0, -4)

Answer 1

First you need to do the opposite reciprocal of this slope to get the perpendicular slope

Answer 2

i have no clue what any one this means im in a slow math and im behind can you help me start it?

Answer 3

No problem! :) its okay lets start with the slope of this formula

Answer 4

okay

Answer 5

What is the slope?

Answer 6

3?

Answer 7

Yes! Now the what is the opposite of 3?

Answer 8

1?

Answer 9

Not really. The opposite would be literally the opposite.
For example: The opposite of 1 is -1
so what is the opposite of 3?

Answer 10

oh -3

Answer 11

Great! Now the reciprocal is a tad more difficult
For example: The reciprocal of 10 is 1/10
so what is the reciprocal of -3?

Answer 12

1/-3 0r 1/3?

Answer 13

It would be -1/3 because we did the reciprocal of -3

Answer 14

okay,

Answer 15

Do you know point slope formula?

Answer 16

no

Answer 17

Its y-y1=m(x-x1)

Answer 18

Do you know what to do next?

Answer 19

okay, so not really,

Answer 20

Well the y1 represents the y coordinate in the given coordinate and the x1 represents the x coordinate in the given coordinate
what is your given coordinate?

Answer 21

(0,-4)

Answer 22

Now which is x1 and which is y1?

Answer 23

-4 x? y 0?

Answer 24

Yes! So now substitute the x1, y1, and m

Answer 25

On y-y1=m(x-x1)

Answer 26

do you have a facebook because openstudy keeps freezing?

Answer 27

no i dont sorry

Answer 28

Here this is what it would look like y-0=-1/3(x+4)

Answer 29

that's the full equation?

Answer 30

no now you need to simplify it

Answer 31

okay, what part would I start with?

Answer 32

Well the 0

Answer 33

how do I start it tho like whats the first step to simplify

Answer 34

Well first the 0 goes away since its 0 so it becomes y=-1/3(x+4)

Answer 35

okay so next would we do x+4? and it would be 4x?

Answer 36

No you would have to distribute the -1/3

Answer 37

I don't know how to do that..

Answer 38

You never learned how to distribute?

Answer 39

I do cyber school and the teachers blow throw things and don't review them that's why im behind

Answer 40

Oh its okay this is how it would look like:
4(x+4)
now you multiply the x by 4 and the 4 times 4
so it looks like
4x+16

Answer 41

okay so the equation would look like y=-1/3(4x+16)?

Answer 42

no i was using the 4x+16 as an example

Answer 43

you need to multiply the -1/3 to x and -1/3 to 4

Answer 44

okay so -1/*3 times 4 is -1.333

Answer 45

or you could leave it in fraction form

Answer 46

im so confused the way im doing it the decimal is -1.3333333333 and so on, and then the fraction form is -4/3

Answer 47

yes most teachers like it in fraction form so now what is the equation?

Answer 48

y=-1/3(x+-4/3)

Answer 49

well close! its
y=-1/3x-4/3