Question

What is the slope of the line that passes through (1, 4) and (1, –3)?

I got 7/0. That would mean it's 0? Or undefined?

Answer 1

that is right.

but we canot divide by zero.

Answer 2

it is -7/0

Answer 3

undefined

Answer 4

it is also -7/0

Answer 5

So wait, it's undefined?

Answer 6

no specific answer, like that. cannot solve, or syntax error. or math error.

Answer 7

that is correct. the line is undefined

Answer 8

the slope is defined, its just that the number produced, if viewed solely as a number is undefined. The slope is a vertical slope

Answer 9

hey the answer is here the slope of the line is -7/0

so it is infinite

so it is a line parallel to y-axis.
because slope of a line = tan ( angle made by lione with x)

for a line parallel to y the slope = tan 90 = infinite

Answer 10

abhinav is right.

Answer 11

lorda mercy here we go again. it is not "infinite" it is just not a number

Answer 12

but he is right that it is paralel to the y-axis.

Answer 13

the slope measures something. it tells you how many units up or down in the y direction the line travels as it travels one unit in the x - direction

Answer 14

hey anything anything divided by zero is considered as infinite dont u know that?

Answer 15

since a vertical line does not travel one unit in the x - direction, the question makes no sense and so there is no slope. like asking what is the gas mileage for my bicycle.

Answer 16

really? yes i don't know it because it is not true

Answer 17

even as a limit statement it is not true

Answer 18

if some math teacher told you that please tell them that they are sadly mistaken

Answer 19

hey dont give silly explanations what do you think i the slope of any line parallel to y axis

dont u know that slope = tan (theta

Answer 20

well if the slope is a number then it would be
\[\tan(\theta)\] yes,
but if
\[\theta=\frac{\pi}{2}\] then
\[\tan(\frac{\pi}{2})\] is not a number since
\[\frac{\pi}{2}\] is not in the domain of tangent

Answer 21

the slope has a specific meaning, as it measures something. if there is nothing to measure then it does not have a meaning

Answer 22

ok so u say there is no slope for any line parallel to y axis?

Answer 23

and if you were told that
\[\tan(\frac{\pi}{2})=\infty\] you were told incorrectly. even as a limit this is not true

Answer 24

as fas as i know the slope is infinite if it is parallel to y-axis and 0 if it is parallel to x-axis.

Answer 25

far*

Answer 26

Listen to satellite73. He is exactly right.

The limit

\[\lim_{x \rightarrow \pi/2} \tan x \]

does not exist, so it makes absolutely no sense to assign a value to tan(pi/2)

Answer 27

by which i mean
\[\lim_{x\rightarrow \frac{\pi}{2}^+}\tan(x)=-\infty\] whereas
\[\lim_{x\rightarrow \frac{\pi}{2}^-}\tan(x)=\infty\]

Answer 28

ok if u dont agree with me then u can go with ur own explanation
idont want to fight with u .
u are not even thinking about my explanation

Answer 29

i wonder where this idea comes from that the symbol
\[\frac{a}{0}\]is somehow infinity. i assure you that it is not

Answer 30

abhinav, your explanation is not sound; you say that the slope is infinite, which means that it moves an infinite amount when x moves, but x never moves

Answer 31

satellite in some aspects it is undefined and in some aspects it is infinite.

Answer 32

i have a cliff that is 3 feet high, what is its slope? infinity? no

Answer 33

@abh ... Let us suppose for a moment that

a/0 = inf

Then what is 2a/0 - a/0 ?

Is it inf - inf = 0? or is it 2inf - inf = inf? or is it inf - inf = inf?

You just can't make this definition consistent.

Answer 34

i do believe some math teacher may have told you this, and therefore it is in no way a fault or failing on your part. just goes to show that you should not believe everything a math teacher says.

Answer 35

i vertical line has no slope that can be defined numerically; its simply a vertical slope

Answer 36

of course inf -inf = inft

because you will goin to subtract infintly.

Answer 37

and 2inf is still inf

:))

Answer 38

actually the question says
That would mean it's 0? Or undefined?
so at least this math teacher knows something
undefined is the correct answer

Answer 39

if you believe
\[\frac{1}{0}=\text{something}\] the presumably i can solve
\[1=0\times \text{something}\] a miracle if ever there was one

Answer 40

ok if u think the slope if undefined then u can go to the international maths research centre

Answer 41

ok hope this will provide a correct answer

since the slope of a line parallel to y axis is undefined, and 7/0 is also undefined its is a line parallel to y axis.

i feel may be u are right. i am sorry for my arguement against u