ineedhelp10
  • ineedhelp10
for a line with the points (3,3) and (4,k) what are the values of k that would make the slope undefined
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Do you know what makes a slope undefined?
ineedhelp10
  • ineedhelp10
yeah its when the slope ends up being error
anonymous
  • anonymous
It's when the denominator is equal to 0. That is, there is no change in x. A vertical line

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anonymous
  • anonymous
do you know the equation for the slope of a line given two points?
ineedhelp10
  • ineedhelp10
yeah its y2-y1/x2-x1
anonymous
  • anonymous
ok so plug in the numbers you have into that equation
anonymous
  • anonymous
There is a change in x of 1 unit
anonymous
  • anonymous
so there is no y value that can make it undefined
ineedhelp10
  • ineedhelp10
okay but what do i set it equal to?
anonymous
  • anonymous
(k-3)/(4-3) = (k-3)/1
anonymous
  • anonymous
No k value makes the slope undefined
anonymous
  • anonymous
Do you see what I mean?
ineedhelp10
  • ineedhelp10
would it be k-3?
anonymous
  • anonymous
the slope is undefined if x2-x1 = 0, correct?
ineedhelp10
  • ineedhelp10
wait would it be all real numbers?
anonymous
  • anonymous
no
anonymous
  • anonymous
for the slope to be undefined, x2-x1 must equal 0, right?
anonymous
  • anonymous
(y2-y1)/(x2-x1) (x2-x1) is the denominator. If (x2-x1) = 0, then the slope is undefined.
anonymous
  • anonymous
right?
ineedhelp10
  • ineedhelp10
okay so then what?
anonymous
  • anonymous
well x2=4 and x1=3 so (x2-x1) = 1 No y value will change that. So the slope cannot be undefined
ineedhelp10
  • ineedhelp10
okay so then what would that make the value of k?
anonymous
  • anonymous
Are you sure you typed the problem right? It would make more sense if it asked about (3,3) and (k.4)
ineedhelp10
  • ineedhelp10
yeah i typed it right
anonymous
  • 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
  • ineedhelp10
okay you're so sure
anonymous
  • anonymous
it's either a trick question or your teacher made a mistake
ineedhelp10
  • ineedhelp10
and for the slope to be 0 would it have to be 3
anonymous
  • anonymous
correct
ineedhelp10
  • ineedhelp10
okay thank you so much!!
anonymous
  • anonymous
No problem
ineedhelp10
  • ineedhelp10
wait for the undefined would it be all real numbers?
anonymous
  • anonymous
That would mean that the slope is always undefined It is never undefined
ineedhelp10
  • ineedhelp10
so then what can i say as my final answer?
anonymous
  • anonymous
I would say that no value of k makes the slope undefined
ineedhelp10
  • ineedhelp10
okay thehn thank you again!!
anonymous
  • anonymous
Of course
ineedhelp10
  • ineedhelp10
wait what can i say for my explanation lol my bad
ineedhelp10
  • ineedhelp10
do you know?
anonymous
  • anonymous
There is no value of k that makes the slope undefined.

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