SOLUTION: write the equation of the line that passes through (4,-2) and (4,3)

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Question 602076: write the equation of the line that passes through (4,-2) and (4,3)
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=4 and y%5B2%5D=3.


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


m=%283--2%29%2F%284-4%29 Plug in y%5B2%5D=3, y%5B1%5D=-2, x%5B2%5D=4, and x%5B1%5D=4


m=%285%29%2F%284-4%29 Subtract -2 from 3 to get 5


m=%285%29%2F%280%29 Subtract 4 from 4 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=4 (this is a vertical line)