Find an equation of the horizontal line that passes through (-4, -3)

- anonymous

Find an equation of the horizontal line that passes through (-4, -3)

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- anonymous

horizontal line looks like \(y=\text {some number}\)
in this case it seems to be that \(\text{some number}=-3\)

- anonymous

I'm still not getting it. I need an equation to help me.

- anonymous

Sorry.

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## More answers

- dan815

|dw:1377568379112:dw|

- dan815

a horizontal line has slope = ?

- anonymous

So you're basically saying that the line passes through -3. That would basically be the slope right?

- dan815

a horizontal has no slope

- dan815

a horizontal line*

- anonymous

Thank you. @dan815

- dan815

you know the equation y=mx+b

- anonymous

Yes.

- dan815

so what did you get as the answer

- anonymous

So far I've plugged in y= m(-3)+ (-4) but I doubt I did it correctly. I am not sure.

- dan815

what is your m in this case

- anonymous

Like you said, a horizontal line has no slope. Wouldn't it be 0?

- dan815

ok

- dan815

so your equation is?

- anonymous

Like you said, a horizontal line has no slope. Wouldn't it be 0?

- dan815

okay so tell me the equation

- dan815

if someone asked you what is the equation of this line... what are you going to tell them

- anonymous

Here's what I did.
y= 0(-3) - 4
y= 0-4
y= -4
I did it wrong. Idk how.

- dan815

okay so y = -4 is your equation ?

- anonymous

No it's supposed to be -3

- anonymous

But I don't know how

- dan815

yes it is..

- dan815

okay we should probably start at square one

- anonymous

Okay.

- dan815

try to understand what is going on clearly

- dan815

first of all
(-4,-3)
what does this mean?

- anonymous

-4 is x and -3 is y

- dan815

okay good

- dan815

|dw:1377569096032:dw|

- dan815

so you have this point

- anonymous

Yes.

- dan815

now you have a horizontal line passing through this point

- dan815

|dw:1377569152236:dw|

- dan815

what is the y intercept

- anonymous

y intercept is -3

- dan815

okay
so you have the equation y = mx + b

- dan815

what does that b stand for?

- anonymous

The b stands for y-intercept. So what I've done so far is that I instead put in y= 0(-3) - 3 = y= -3

- dan815

ok

- anonymous

My mistake, I did -3 = 0 (-4) -3. -3= 0-3, and then -3 = -3

- dan815

ok..

- dan815

but your equation is y = -3 right

- anonymous

yes.

- dan815

makes sense, right, all it is is saying is
its y= -3
the x value doesnt matter

- anonymous

if you don't mind me saying so, this is correct but way way too much work
the horizontal line through \((a,b)\) is given by the equation \(y=b\)

- anonymous

Now I get it! The x value doesn't matter. That's what I also needed to know. Meaning I don't add in the x value.

- dan815

if i told you to draw the line x = 2
what would that look like

- anonymous

A vertical line plotted on x= -2

- dan815

a vertical line plotted through
(-2,y), y can be any value

- dan815

oh wait lol where did that -2 come from

- dan815

nevermind that stuff, you get the point

- anonymous

Yep, indeed I do. Thanks very much for the help! :)

- dan815

okay just do more research look up line explainations and stuff on youtube

- dan815

you need to understand lines in many different ways, its one of the fundamentals thing in math, a lot of stuff will be built on this

- anonymous

Yeah. I should. The book doesn't explain it enough. Just the slope has been given despite reading the section numerous times.

- dan815

basically a line, is representing a form of linear relationship data

- dan815

like say you have a table

- dan815

|dw:1377569940276:dw|

- dan815

there are so many points i can keep writing, that is too much work

- dan815

but if i can form a picture of it, in my head or be able to draw a picture to represent this data, that will be a lot faster and easier to look at

- dan815

right

- anonymous

Yes. It makes it easier

- dan815

|dw:1377570027754:dw|

- anonymous

Yeah.

- dan815

whats the equation?

- dan815

look at that data

- dan815

what ever x is, y value is that also right..

- anonymous

Yes since they are the same values

- dan815

sooo the equation is?

- dan815

you gotta start thinking equations

- dan815

how can i represent all this data with some simple equation?

- dan815

|dw:1377570294731:dw|

- dan815

y = ?

- anonymous

(2,2) for example, that would be y= 2
since plotted, 2 is the intercept

- dan815

forget lines right now.. im talking about something before that more basic

- dan815

what is going on in this table of data

- dan815

im not asking you anything tricky dont get confused

- dan815

|dw:1377570461032:dw|

- dan815

take a look at this data..
when x is 0 y is 0
when x is 1 y is 1
whatever x is y is that

- dan815

how do i say that in math now

- dan815

how do i say whatever x is, y is also that

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