SOLUTION: Find the slope of the line passing through the points (14, 6) and (9, 1).

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Find the slope of the line passing through the points (14, 6) and (9, 1).      Log On

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Question 109118: Find the slope of the line passing through the points (14, 6) and (9, 1).
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Finding the slope
To find the slope going from (14,6) to (9,1) we are going to calculate the change in y over the change in x, or the rise over the run. The change is the difference between the two coordinates. So if the y-coordinate of a point goes from 6 to 1, the change in these numbers is -5 (since 1-6=-5). If the x-coordinate changes from 14 to 9, then the change is -5 (since 9-14=-5). So to calculate the slope we use this formula:
Slope:

m=%28change_in_y%29%2F%28change_in_x%29=rise%2Frun where m is the slope

So now we let y%5B2%5D=1,y%5B1%5D=6,x%5B2%5D=9,x%5B1%5D=14Now plug these numbers into the slope formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%281-%286%29%29%2F%289-%2814%29%29+=+-5%2F-5


So after simplification the slope is m=1