SOLUTION: Sorry-I didn't know what category this would fall in. How do you find the rate of change in an equation? If you have a chart... Example: x y 1 3 3 5 4 6

Algebra ->  Linear-equations -> SOLUTION: Sorry-I didn't know what category this would fall in. How do you find the rate of change in an equation? If you have a chart... Example: x y 1 3 3 5 4 6      Log On


   



Question 173391: Sorry-I didn't know what category this would fall in. How do you find the rate of change in an equation? If you have a chart...
Example:
x y
1 3
3 5
4 6

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry-I didn't know what category this would fall in. How do you find the rate of change in an equation? If you have a chart...
Example:
x y
1 3
3 5
4 6


"Rate of change" means "slope", and

(1,3), (3,5), and (4,6) are points

We must use the slope formula with all 
pairs of the three points to make sure
the rate of change is the same:

The slope formula is

matrix%281%2C3%2Cm%2C%22=%22%2C+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+%29

Using the pair of points (1,3), and (3,5):



Using the pair of points (1,3), and (4,6):


 
Using the pair of points (3,5), and (4,6):



They are all the same, so the "slope" and 
therefore the "rate of change" is 1.

Edwin