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

Algebra ->  Graphs -> 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       Log On


   



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) About Me  (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,
m=%28y-0%29%2F%28x-0%29=y%2Fx
Assume x is 1 for simplicity.
So then your point is (1,y) and
m=y
So for positive,
m%3E0
y%3E0
Choose any positive y.
And for negative,
m%3C0
y%3C0
Choose any negative y,
And for zero slope,
m=0
y=0
Your point would be (1,0).
.
.
.
For undefined slope, we go back to the definition of slope.
m=%28y-0%29%2F%28x-0%29
The slope is undefined if the denominator equals zero since division by zero is undefined,
x-0=0
x=0
So then the points are (0,y) where y is any number.
This is a vertical line at x=0.