SOLUTION: determine the value of r so that the line (5,r) and (2,3) has a slope 2. (-3,-1),m=-1/5

Algebra ->  Linear-equations -> SOLUTION: determine the value of r so that the line (5,r) and (2,3) has a slope 2. (-3,-1),m=-1/5      Log On


   

Question 55119: determine the value of r so that the line (5,r) and (2,3) has a slope 2.
(-3,-1),m=-1/5
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
The slope, m, is defined as m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29. It doesn't matter which ordered pair is x%5B1%5D,y%5B1%5D and x%5B2%5D,y%5B2%5D because you'll get the same answer. Using substitution we get 2=%28r-3%29%2F%285-2%29, which simplifies to 2=%28r-3%29%2F3. Multiplying both sides by 3 gives us 6=r-3 and adding 3 to both sides gives us r=9.