SOLUTION: Need help with this. Thanks for your help. Create two ordered pairs so that the slope of the line between them is: positive, negative, zero, undefined. Use both

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Question 1080154: Need help with this. Thanks for your help.
Create two ordered pairs so that the slope of the line between them is:

positive,
negative,
zero,
undefined.
Use both graph and the slope of the formula as proof.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Slope is change in y over change in x.
So use (0,0) as the starting point.
So then the slope is,

Assume x is 1 for simplicity.
So then your point is (1,y) and

So for positive,


Choose any positive y.
And for negative,


Choose any negative y,
And for zero slope,


Your point would be (1,0).
.
.
.
For undefined slope, we go back to the definition of slope.

The slope is undefined if the denominator equals zero since division by zero is undefined,


So then the points are (0,y) where y is any number.
This is a vertical line at .

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