SOLUTION: write the equation of the line passing through the points (2,-7) and (2,13)

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Question 349013: write the equation of the line passing through the points (2,-7) and (2,13)
Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the two-point form of an equation of a line:



where and are the coordinates of the given points.



John

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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=2 and y%5B1%5D=-7.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=13.


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


m=%2813--7%29%2F%282-2%29 Plug in y%5B2%5D=13, y%5B1%5D=-7, x%5B2%5D=2, and x%5B1%5D=2


m=%2820%29%2F%282-2%29 Subtract -7 from 13 to get 20


m=%2820%29%2F%280%29 Subtract 2 from 2 to get 0


Remember, you cannot divide by zero. So this means that the slope is undefined.


Since the slope is undefined, this means that the equation of the line through the points and is x=2.


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

Also, feel free to check out my tutoring website

Jim