Question

What is the definition of equation of a horizontal line?

Answer 1

can you please give an example too

Answer 2

A horizontal line has an undefined slope.
You can prove it by plugging any points of any vertical line into the slope formula,
OR....

Answer 3

Would you agree if we define the slope as,
"the number of y units the function goes up by, as x, goes 1 unit to the right"
@18bmiller ?

Answer 4

i don't know I'm not good in math

Answer 5

Well, you know for example, that
this is an example.

Answer 6

oh rise over run right?

Answer 7

Yes...:)
you can see that as x increases by 1 unit, the y increases by 1/2 of unit. so slope is 1/2.

Answer 8

it will have what slope?

Answer 9

the slope is undefined

Answer 10

No, horizontal line, not vertical.

Answer 11

then its 0?

Answer 12

Yes, so,
As x increase by units, by how many units increase?
Does it increase? it does not.
it goes 0 units up, as it goes 1 unit to the right each time.

Answer 13

it goes to infinity like it never stops

Answer 14

Yes, the horizontal line does....

Now, a vertical line.

It doesn't have any slope.

because talking the part of the definition
"as it goes 1 unit to the right, it goes c units up" and c in this is the slope.

Answer 15

But here it doesn't go 1 unit to the right. Does never do that.
That is why "slope" is irrelevant when it comes to vertical lines.

Answer 16

can you give a problem to the equation of the horizontal line to make sure i got it

Answer 17

you mean vertical line?

Answer 18

the one like I, not the one like - .

Answer 19

no the horizontal line -

Answer 20

y = 3

Answer 21

you can choose any points, (a,3) and (b,3)
and plug it into the slope formula.