Question

Please help,i got 12/0 but IDK if that's right.
Find the slope of the line through the pair of points. A(2, –3), P(2, 9)

Answer 1

Vertical line, no slope.

Answer 2

ok here you have two points given
A(2, –3), P(2, 9)

use the following formula to find slope
slope = (y2-y1)/(x2-x1)

Answer 3

so it would be undefined right? since I got 12/0

Answer 4

yes you got 12/0 thats right
but it results in infinity
thus it is a vertical line and the slope for vertical line undefined

Answer 5

*is

Answer 6

Yesh, undefined.

Answer 7

infinity or negative infinity? @rizwan_uet ,

Answer 8

@rizwan_uet \[\dfrac{x}{0} \ne \infty \]

Answer 9

any number divided by zero = infinity @ParthKohli

Answer 10

nope

Answer 11

Orly?

Answer 12

Can you prove it?

Answer 13

+infinity or -infinity but here both means undefine @UnkleRhaukus

Answer 14

infinity is defined

Answer 15

So you say that it's infinity AND undefined/

Answer 16

infinity is not defined its not a number you can write. @UnkleRhaukus

Answer 17

Infinity is not defined? Are you sure...? Look, I can define it.

Answer 18

i dont know the proof but i can tell you some thing
if you multiply any number by zero it results in zero ok
now in your case x/0 . i have to multiply 0 with such a number that results in x
so there exists no such number therefore we say that there exist a very large number called infinity such that if we multiply it with zero it will result in x

Answer 19

There is no such defined number which exists, thus undefined.

Answer 20

thats what i said

Answer 21

undefined is some thing we refer to 0/0 or infinity /infinity thats true
but infinity by its self is undefined too.
we cant say this point is infinity