SOLUTION: Graph (5,8) (10,-10)

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Question 243580: Graph
(5,8) (10,-10)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to graph the line that goes through these points?




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=5 and y%5B1%5D=8.
Also, is the second point . So this means that x%5B2%5D=10 and y%5B2%5D=-10.


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


m=%28-10-8%29%2F%2810-5%29 Plug in y%5B2%5D=-10, y%5B1%5D=8, x%5B2%5D=10, and x%5B1%5D=5


m=%28-18%29%2F%2810-5%29 Subtract 8 from -10 to get -18


m=%28-18%29%2F%285%29 Subtract 5 from 10 to get 5


So the slope of the line that goes through the points and is m=-18%2F5


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-8=%28-18%2F5%29%28x-5%29 Plug in m=-18%2F5, x%5B1%5D=5, and y%5B1%5D=8


y-8=%28-18%2F5%29x%2B%28-18%2F5%29%28-5%29 Distribute


y-8=%28-18%2F5%29x%2B18 Multiply


y=%28-18%2F5%29x%2B18%2B8 Add 8 to both sides.


y=%28-18%2F5%29x%2B26 Combine like terms.


So the equation that goes through the points and is y=%28-18%2F5%29x%2B26


Notice how the graph of y=%28-18%2F5%29x%2B26 goes through the points and . So this visually verifies our answer.
Graph of y=%28-18%2F5%29x%2B26 through the points and