SOLUTION: write the slope intercept form of the equation (-6,-4)and (6,-6) please show all work

Algebra ->  Linear-equations -> SOLUTION: write the slope intercept form of the equation (-6,-4)and (6,-6) please show all work      Log On


   

Question 577626: write the slope intercept form of the equation (-6,-4)and (6,-6) please show all work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=-6 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=6 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--4%29%2F%286--6%29 Plug in y%5B2%5D=-6, y%5B1%5D=-4, x%5B2%5D=6, and x%5B1%5D=-6


m=%28-2%29%2F%286--6%29 Subtract -4 from -6 to get -2


m=%28-2%29%2F%2812%29 Subtract -6 from 6 to get 12


m=-1%2F6 Reduce


So the slope of the line that goes through the points and is m=-1%2F6


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--4=%28-1%2F6%29%28x--6%29 Plug in m=-1%2F6, x%5B1%5D=-6, and y%5B1%5D=-4


y--4=%28-1%2F6%29%28x%2B6%29 Rewrite x--6 as x%2B6


y%2B4=%28-1%2F6%29%28x%2B6%29 Rewrite y--4 as y%2B4


y%2B4=%28-1%2F6%29x%2B%28-1%2F6%29%286%29 Distribute


y%2B4=%28-1%2F6%29x-1 Multiply


y=%28-1%2F6%29x-1-4 Subtract 4 from both sides.


y=%28-1%2F6%29x-5 Combine like terms.


So the equation that goes through the points and is y=%28-1%2F6%29x-5


-------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
-------------------------------------------------------------------------------------------------