SOLUTION: Find the slope of a line parallel to the line through the points (-3, -10) and (-9, 2) If you can help it would be much appreciated!!! I'm extremely confused

Algebra ->  Inequalities -> SOLUTION: Find the slope of a line parallel to the line through the points (-3, -10) and (-9, 2) If you can help it would be much appreciated!!! I'm extremely confused      Log On


   

Question 560710: Find the slope of a line parallel to the line through the points (-3, -10) and (-9, 2)
If you can help it would be much appreciated!!! I'm extremely confused
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Anything parallel to this line will have the same slope. So all we need to do is find the slope of the line that goes through these points.



Note: is the first point . So this means that x%5B1%5D=-3 and y%5B1%5D=-10.
Also, is the second point . So this means that x%5B2%5D=-9 and y%5B2%5D=2.


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


m=%282--10%29%2F%28-9--3%29 Plug in y%5B2%5D=2, y%5B1%5D=-10, x%5B2%5D=-9, and x%5B1%5D=-3


m=%2812%29%2F%28-9--3%29 Subtract -10 from 2 to get 12


m=%2812%29%2F%28-6%29 Subtract -3 from -9 to get -6


m=-2 Reduce


So the slope of the line that goes through the points and is m=-2



So therefore, any parallel line will also have a slope of -2.
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