SOLUTION: What is the slope of the line passing through the points (–3, 4) and (2, –1)?

Algebra ->  Coordinate-system -> SOLUTION: What is the slope of the line passing through the points (–3, 4) and (2, –1)?       Log On


   

Question 915108: What is the slope of the line passing through the points (–3, 4) and (2, –1)?
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=-3 and y%5B1%5D=4.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=-1.


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


m=%28-1-4%29%2F%282--3%29 Plug in y%5B2%5D=-1, y%5B1%5D=4, x%5B2%5D=2, and x%5B1%5D=-3


m=%28-5%29%2F%282--3%29 Subtract 4 from -1 to get -5


m=%28-5%29%2F%285%29 Subtract -3 from 2 to get 5


m=-1 Reduce


So the slope of the line that goes through the points and is m=-1


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim