SOLUTION: Find the slope and angle inclination of a line passing through A(7,-5) and B(4,4)? Please answer.. I'm begging..

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Question 684045: Find the slope and angle inclination of a line passing through A(7,-5) and B(4,4)?
Please answer.. I'm begging..
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=7 and y%5B1%5D=-5.
Also, is the second point . So this means that x%5B2%5D=4 and y%5B2%5D=4.


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


m=%284--5%29%2F%284-7%29 Plug in y%5B2%5D=4, y%5B1%5D=-5, x%5B2%5D=4, and x%5B1%5D=7


m=%289%29%2F%284-7%29 Subtract -5 from 4 to get 9


m=%289%29%2F%28-3%29 Subtract 7 from 4 to get -3


m=-3 Reduce


So the slope of the line that goes through the points and is m=-3


The angle of inclination is

theta = arctan(rise/run)

theta = arctan(3/1) ... note: make the rise positive

theta = 71.56505

So the angle of inclination is roughly 71.56505 degrees