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

- ineedhelp10

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

Do you know what makes a slope undefined?

- ineedhelp10

yeah its when the slope ends up being error

- anonymous

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

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

- ineedhelp10

yeah its y2-y1/x2-x1

- anonymous

ok so plug in the numbers you have into that equation

- anonymous

There is a change in x of 1 unit

- anonymous

so there is no y value that can make it undefined

- ineedhelp10

okay but what do i set it equal to?

- anonymous

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

- anonymous

No k value makes the slope undefined

- anonymous

Do you see what I mean?

- ineedhelp10

would it be k-3?

- anonymous

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

- ineedhelp10

wait would it be all real numbers?

- anonymous

no

- anonymous

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

- anonymous

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

- anonymous

right?

- ineedhelp10

okay so then what?

- anonymous

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

- ineedhelp10

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

- anonymous

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

- ineedhelp10

yeah i typed it right

- anonymous

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

- ineedhelp10

okay you're so sure

- anonymous

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

- ineedhelp10

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

- anonymous

correct

- ineedhelp10

okay thank you so much!!

- anonymous

No problem

- ineedhelp10

wait for the undefined would it be all real numbers?

- anonymous

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

- ineedhelp10

so then what can i say as my final answer?

- anonymous

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

- ineedhelp10

okay thehn thank you again!!

- anonymous

Of course

- ineedhelp10

wait what can i say for my explanation lol my bad

- ineedhelp10

do you know?

- anonymous

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.