SOLUTION: Please help me with this: A line passes through the points (6,3) and (6,1). The equation of this line is ____. THe slope of the line is ____.

Algebra ->  Equations -> SOLUTION: Please help me with this: A line passes through the points (6,3) and (6,1). The equation of this line is ____. THe slope of the line is ____.      Log On


   

Question 317816: Please help me with this:
A line passes through the points (6,3) and (6,1). The equation of this line is ____. THe slope of the line is ____.
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=6 and y%5B1%5D=3.
Also, is the second point . So this means that x%5B2%5D=6 and y%5B2%5D=1.


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


m=%281-3%29%2F%286-6%29 Plug in y%5B2%5D=1, y%5B1%5D=3, x%5B2%5D=6, and x%5B1%5D=6


m=%28-2%29%2F%286-6%29 Subtract 3 from 1 to get -2


m=%28-2%29%2F%280%29 Subtract 6 from 6 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=6.