SOLUTION: given the graph points of (2,3)(5,5)(8,8) Find the slope of each of the three line segments in the graph. Please show all of your work. Between which two points is the slope the sm

Algebra ->  Graphs -> SOLUTION: given the graph points of (2,3)(5,5)(8,8) Find the slope of each of the three line segments in the graph. Please show all of your work. Between which two points is the slope the sm      Log On


   

Question 387365: given the graph points of (2,3)(5,5)(8,8) Find the slope of each of the three line segments in the graph. Please show all of your work. Between which two points is the slope the smallest? HELP!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There is a line between the points (2,3) and (5,5)
There is a line between the points (2,3) and (8,8)
There is a line between the points (5,5) and (8,8)
The definition of slope is (change in y)/(change in x)
For the 1st line:
slope = %285-+3%29%2F%285+-+2%29+=+2%2F3
For the 2nd line:
slope = %288+-+3%29%2F%288+-+2%29+=+5%2F6
For the 3rd line:
slope = %288+-+5%29%2F%288+-+5%29+=+1
The smallest slope is 2%2F3, since, using the LCD, the slopes are
4%2F6, 5%2F6, and 6%2F6