for a line with the points (3,3) and (4,k) what are the values of k that would make the slope undefined

Question

anonymous · Answer

Do you know what makes a slope undefined?

ineedhelp10 · Answer

yeah its when the slope ends up being error

anonymous · Answer

It's when the denominator is equal to 0. That is, there is no change in x. A vertical line

anonymous · Answer

do you know the equation for the slope of a line given two points?

ineedhelp10 · Answer

yeah its y2-y1/x2-x1

anonymous · Answer

ok so plug in the numbers you have into that equation

anonymous · Answer

There is a change in x of 1 unit

anonymous · Answer

so there is no y value that can make it undefined

ineedhelp10 · Answer

okay but what do i set it equal to?

anonymous · Answer

(k-3)/(4-3) = (k-3)/1

anonymous · Answer

No k value makes the slope undefined

anonymous · Answer

Do you see what I mean?

ineedhelp10 · Answer

would it be k-3?

anonymous · Answer

the slope is undefined if x2-x1 = 0, correct?

ineedhelp10 · Answer

wait would it be all real numbers?

anonymous · Answer

no

anonymous · Answer

for the slope to be undefined, x2-x1 must equal 0, right?

anonymous · Answer

(y2-y1)/(x2-x1)

(x2-x1) is the denominator. If (x2-x1) = 0, then the slope is undefined.

anonymous · Answer

right?

ineedhelp10 · Answer

okay so then what?

anonymous · Answer

well x2=4 and x1=3 so (x2-x1) = 1

No y value will change that. So the slope cannot be undefined

ineedhelp10 · Answer

okay so then what would that make the value of k?

anonymous · Answer

Are you sure you typed the problem right? It would make more sense if it asked about (3,3) and (k.4)

ineedhelp10 · Answer

yeah i typed it right

anonymous · Answer

changing k won't change the value of the denominator. So there is no value of k that would make the slope undefined.

ineedhelp10 · Answer

okay you're so sure

anonymous · Answer

it's either a trick question or your teacher made a mistake

ineedhelp10 · Answer

and for the slope to be 0 would it have to be 3

anonymous · Answer

correct

ineedhelp10 · Answer

okay thank you so much!!

anonymous · Answer

No problem

ineedhelp10 · Answer

wait for the undefined would it be all real numbers?

anonymous · Answer

That would mean that the slope is always undefined

It is never undefined

ineedhelp10 · Answer

so then what can i say as my final answer?

anonymous · Answer

I would say that no value of k makes the slope undefined

ineedhelp10 · Answer

okay thehn thank you again!!

anonymous · Answer

Of course

ineedhelp10 · Answer

wait what can i say for my explanation lol my bad

ineedhelp10 · Answer

do you know?

anonymous · Answer

There is no value of k that makes the slope undefined.