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Do you know what makes a slope undefined?
yeah its when the slope ends up being error
It's when the denominator is equal to 0. That is, there is no change in x. A vertical line
do you know the equation for the slope of a line given two points?
yeah its y2-y1/x2-x1
ok so plug in the numbers you have into that equation
There is a change in x of 1 unit
so there is no y value that can make it undefined
okay but what do i set it equal to?
(k-3)/(4-3) = (k-3)/1
No k value makes the slope undefined
Do you see what I mean?
would it be k-3?
the slope is undefined if x2-x1 = 0, correct?
wait would it be all real numbers?
for the slope to be undefined, x2-x1 must equal 0, right?
(y2-y1)/(x2-x1) (x2-x1) is the denominator. If (x2-x1) = 0, then the slope is undefined.
okay so then what?
well x2=4 and x1=3 so (x2-x1) = 1 No y value will change that. So the slope cannot be undefined
okay so then what would that make the value of k?
Are you sure you typed the problem right? It would make more sense if it asked about (3,3) and (k.4)
yeah i typed it right
changing k won't change the value of the denominator. So there is no value of k that would make the slope undefined.
okay you're so sure
it's either a trick question or your teacher made a mistake
and for the slope to be 0 would it have to be 3
okay thank you so much!!
wait for the undefined would it be all real numbers?
That would mean that the slope is always undefined It is never undefined
so then what can i say as my final answer?
I would say that no value of k makes the slope undefined
okay thehn thank you again!!
wait what can i say for my explanation lol my bad
do you know?
There is no value of k that makes the slope undefined.