Question

Points (1,1) and (1,4) lie on line K. What is the slope of the line that is parallel to K?

Answer 1

infinity

Answer 2

hmmm

Answer 3

am i wrong?

Answer 4

Does infinity have a slope?

Answer 5

yes @hero

Answer 6

i have heard "infinity" before, but in fact the line has no slope
you cannot divide by zero
the slope of a line measures the increase or decrease in \(y\) for every unit increase in \(x\)
since this line is vertical, the question is meaningless in this context
like asking how many miles per gallon i get on my bicycle

Answer 7

undefined ?

Answer 8

and so the answer is "the line has no slope" or "the slope is undefined"

Answer 9

so @Hero was wrong then?

Answer 10

btw of course in english "no slope" might be taken to mean "zero" like "i have no money" means "i have zero dollars" but in this case "no slope" means the slope does not exist, not "it is zero"

Answer 11

How can I be wrong for asking you a question?

Answer 12

Oh sorry I thought you were saying it. My bad.