20. When we have zero on the bottom of the slope, we call that no slope because of the rule that zero can never be in the denominator of a fraction. An example of this would be a line that goes through the points (2, -3) and (2, 4). If you plotted these points, what would this graph look like? What should this equation be?
My Answer~
M=4+3/2-2
M=7/0
The slope is undefined
The line would look like a vertical line.

What my teacher said~
one more question here that needs to be answered.

What is that question?
@atrey6s3x6

Question

20. When we have zero on the bottom of the slope, we call that no slope because of the rule that zero can never be in the denominator of a fraction. An example of this would be a line that goes through the points (2, -3) and (2, 4). If you plotted these points, what would this graph look like? What should this equation be?
My Answer~ 
M=4+3/2-2
M=7/0
The slope is undefined 
The line would look like a vertical line.

What my teacher said~
one more question here that needs to be answered.

What is that question?
@atrey6s3x6

abbycross167 · Answer

@atreyu6s3x6

mathstudent55 · Answer

You are correct:
1) The sloe is undefined because it involves division by zero.
2) It is a vertical line.
3) You are missing the equation of the line.

mathstudent55 · Answer

You just need to supply 3) above.

abbycross167 · Answer

Ok would you mind helping me find the equation?

anonymous · Answer

you got this :)

mathstudent55 · Answer

$\text {20. When we have zero on the bottom of the slope, we call that no slope}$
$\text{ because of the rule that zero can never be in the denominator of a fraction.}$
$\text { An example of this would be a line that goes through the points (2, -3) and}$
$\text{ (2, 4). If you plotted these points, what would this graph look like?} $
$\color{red}{ What ~should ~this ~equation ~be?} $

mathstudent55 · Answer

Notice in that the two given points have x = 2, correct?
No matter what the y-coordinate of any point is, x is always 2.
In other words, there is no restriction on y.
The only restriction is that every point has to satisfy the equation x = 2.
That is exactly the equation, x = 2.

mathstudent55 · Answer

Similarly, for a horizontal line, the eqation is 

y = number

abbycross167 · Answer

Give me a second, I'm trying to do the steps

abbycross167 · Answer

ok @mathstudent55 if I show you the steps I did can you check it?

abbycross167 · Answer

@atreyu6s3x6 can you check my steps?

anonymous · Answer

sure post them :)

mathstudent55 · Answer

You already showed your slope calculation and showed it ends in division by zero.
Then you wrote that the slope is undefined.
A line with undefined slope is vertical.
All you need to add to your work is
The equation of the line is x = 2.

abbycross167 · Answer

Points ~~ (2, -3) and (2, 4).
(X1, y1)
(x2,y2)
(x2,y-3)
(x2,y4)
M= 4-2/-3-2
M= 2/-5
Y=mx+b

this is how far i got...

anonymous · Answer

he gave you the answer :) @abbycross167

abbycross167 · Answer

oh thank you kindly! @mathstudent55