SOLUTION: how can i resolve the problem= (4,2),(-6,7) i have to find the equation.

Algebra ->  Coordinate-system -> SOLUTION: how can i resolve the problem= (4,2),(-6,7) i have to find the equation.      Log On


   

Question 554904: how can i resolve the problem= (4,2),(-6,7) i have to find the equation.
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=4 and y%5B1%5D=2.
Also, is the second point . So this means that x%5B2%5D=-6 and y%5B2%5D=7.


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


m=%287-2%29%2F%28-6-4%29 Plug in y%5B2%5D=7, y%5B1%5D=2, x%5B2%5D=-6, and x%5B1%5D=4


m=%285%29%2F%28-6-4%29 Subtract 2 from 7 to get 5


m=%285%29%2F%28-10%29 Subtract 4 from -6 to get -10


m=-1%2F2 Reduce


So the slope of the line that goes through the points and is m=-1%2F2


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-2=%28-1%2F2%29%28x-4%29 Plug in m=-1%2F2, x%5B1%5D=4, and y%5B1%5D=2


y-2=%28-1%2F2%29x%2B%28-1%2F2%29%28-4%29 Distribute


y-2=%28-1%2F2%29x%2B2 Multiply


y=%28-1%2F2%29x%2B2%2B2 Add 2 to both sides.


y=%28-1%2F2%29x%2B4 Combine like terms.


So the equation that goes through the points and is y=%28-1%2F2%29x%2B4


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