SOLUTION: Find the equation of a line containing the points (-5, 5) and (-2,-4). Show your work.

Algebra ->  Linear-equations -> SOLUTION: Find the equation of a line containing the points (-5, 5) and (-2,-4). Show your work.      Log On


   

Question 479103: Find the equation of a line containing the points (-5, 5) and (-2,-4). Show your work.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of the line that contains points (x%5B1%5D,y%5B1%5D), (x%5B2%5D,y%5B2%5D) is
%28y-y%5B1%5D%29%2F%28y%5B2%5D-y%5B1%5D%29=%28x-x%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
the points (-5, 5) and (-2,-4) substitute in the formula x%5B1%5D=-5, y%5B1%5D=5, x%5B2%5D=-2, y%5B2%5D=-4
%28y-5%29%2F%28-4-5%29=%28x-%28-5%29%29%2F%28%28-2%29-%28-5%29%29
%28y-5%29%2F%28-9%29=%28x%2B5%29%2F%28-2%2B5%29
%28y-5%29%2F-9=%28x%2B5%29%2F3 multiply by (-9)
y-5=-3%28x%2B5%29
y-5=-3x-15
y=-3x-10