Question

What is the slope of the line through the points (5, 2) and (5, -3)?

Answer 1

http://www.mathwarehouse.com/algebra/linear_equation/slope-of-a-line.php

Answer 2

there is no slope, because the \(x\) value is the same in both coordinates

Answer 3

When I plug in my numbers I got 0... Is that correct?

Answer 4

it is "the change in \(y\) over the change in \(x\) , but since \(x\) does not change, the question makes no sense

Answer 5

no that is not correct

Answer 6

I don't understand then :(

Answer 7

it is "undefined" because the zero is in the denominator

Answer 8

So then how is the line like through these points?

Answer 9

if you compute you get
\[\frac{-3-2}{5-5}=\frac{-5}{0}\] but that is not a number, you cannot divide by zero, i.e. you cannot have a zero in the denominator

Answer 10

it is a vertical line

Answer 11

a vertical line does not have a slope
this is not the same as saying "the slope is zero" it means there is no slope for that line

Answer 12

I see what you're saying now, that makes sense.

Answer 13

okay good