Doing a slope project in Algebra.

Question

The instructions are to make a picture
And label coordinates points..
You have to show a negative slope.
A verticle slope, an undefined slope,
And a positive slope.
Here is my problem. I have to write
An equation and show my work for
the undefined.

Here is what I have to work with
(-5,4) (-5,7)
Is this how I should show my work?
7-4/-5 - -5 = 3/0. = 0. = SLOPE
Y = Mx + B
4 = 3/0 x -5/1 = 15/0
4 = -15/0
Don't know what to do

Answer 1

ahhh, your slope is not zero

look at your 3/0
we CAN'T divide by zero , 3/0 is undefined
If you look at your sketch , your line will be a vertical line
Anytime you have a vertical line, your slope will be undefined and the equation will simply be x = some constant
look at both of your points, the x is -5 for both, so the equation of your line is simply x = -5

btw, if the slope is 0, you will have a horizontal line and its equations will simply be y = c
where c is the y value of your point.