SOLUTION: Find the slope of the graphed lines of 0 ,1, -2 and undefined. HUH? I dont get it.

Algebra ->  Graphs -> SOLUTION: Find the slope of the graphed lines of 0 ,1, -2 and undefined. HUH? I dont get it.      Log On


   



Question 113775: Find the slope of the graphed lines of 0 ,1, -2 and undefined. HUH? I dont get it.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
We are going to calculate the+change in y over the+change in+x,or the rise over the+run.
Here are examples for your lines:

Find the slope of the straight line that passes through (x%5B1%5D, y%5B1%5D) and (x%5B2%5D, y%5B2%5D) or state that the slope is undefined. Then indicate if the line through the points:
rises (left to right), ……………this will be in case when slope+ has positive value
falls+(left to right), ……………this will be in case when slope+ negative value
is horizontal, ……………this will be in case when slope+ is equal to 0
or is vertical……………. this will be in case when slope+ is undefined

1.
If the straight (for example)line that passes through (4,1) and (-2,1),then slope is:
m+=+rise%2Frun
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Plug in x and y+values into slope formula
m+=+%281-1%29%2F%284-%28-2%29%29
m+=+%281-1%29%2F%284%2B2%29………….. Simplify
m+=+0%2F6
m+=+0
The slope of the line is 0.
Since the slope+is+zero, the line would be horizontal.

2.

If the straight line that passes through (-2, 3) and (-2, 5)

m+=+rise%2Frun
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Plug in x and y+values into slope formula
m+=+%283-5%29%2F%28-2-%28-2%29%29
m+=+%28-2%29%2F%28-2%2B2%29………….. Simplify
m+=+-2%2F0
The slope of the line is undefined.
Since the slope is+undefined, the line would be vertical.
3.

find the slope going from (-2,0) to (-1,-2)

m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Plug in x and y+values into slope formula
m+=+%28-2-0%29%2F%28-1-%28-2%29%29
m+=+-2%2F1………….. Simplify
m+=+-2


4.
find the slope passing through (1,0) to (-1,1)
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Plug in x and y+values into slope formula
m+=+%281-0%29%2F%28-1-%28-2%29%29
m+=+1%2F1………….. Simplify
m+=+1