SOLUTION: Find the slope, if it exists of the line containing the pair of points. 1.(-9,-10) and (-14,-17) 2. (9,0) and (0,-6)

Algebra ->  Linear-equations -> SOLUTION: Find the slope, if it exists of the line containing the pair of points. 1.(-9,-10) and (-14,-17) 2. (9,0) and (0,-6)      Log On


   

Question 641105: Find the slope, if it exists of the line containing the pair of points.
1.(-9,-10) and (-14,-17)
2.
(9,0) and (0,-6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

Only post one problem at a time please. Thank you.

Note: is the first point . So this means that x%5B1%5D=-9 and y%5B1%5D=-10.
Also, is the second point . So this means that x%5B2%5D=-14 and y%5B2%5D=-17.


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


m=%28-17--10%29%2F%28-14--9%29 Plug in y%5B2%5D=-17, y%5B1%5D=-10, x%5B2%5D=-14, and x%5B1%5D=-9


m=%28-7%29%2F%28-14--9%29 Subtract -10 from -17 to get -7


m=%28-7%29%2F%28-5%29 Subtract -9 from -14 to get -5


m=7%2F5 Reduce


So the slope of the line that goes through the points and is m=7%2F5