SOLUTION: Find the slope of the line with these given points (9, 3) and (3, -6)

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line with these given points (9, 3) and (3, -6)      Log On


   

Question 628500: Find the slope of the line with these given points (9, 3) and (3, -6)
Found 2 solutions by jim_thompson5910, lenny460:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: is the first point . So this means that x%5B1%5D=9 and y%5B1%5D=3.
Also, is the second point . So this means that x%5B2%5D=3 and y%5B2%5D=-6.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-6-3%29%2F%283-9%29 Plug in y%5B2%5D=-6, y%5B1%5D=3, x%5B2%5D=3, and x%5B1%5D=9


m=%28-9%29%2F%283-9%29 Subtract 3 from -6 to get -9


m=%28-9%29%2F%28-6%29 Subtract 9 from 3 to get -6


m=3%2F2 Reduce


So the slope of the line that goes through the points and is m=3%2F2

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Answer by lenny460(1073) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the graph of:
(9,3)
(3,-6)

rise/run = 9/6 = 3/2 = 1 1/2
The Slope is: 3/2 (or 1 1/2)

The other method:
(y2 - y1)/(x2 - x1) = 3 - (-6) / 9 - 3
3 - (-6) = 3 + 6 = 9
9 - 3 = 6
Therefore:
9/6 = 3/2 = 1 1/2
The Slope is: 3/2 (1 1/2)

The Equation of the Line is:

y = 1 1/2x - 10 1/2


obuong3@aol.com