SOLUTION: Please find an equation of the line passing through the points (7.5,2) and 7.5,9) Thank you

Algebra ->  Equations -> SOLUTION: Please find an equation of the line passing through the points (7.5,2) and 7.5,9) Thank you      Log On


   

Question 146192: Please find an equation of the line passing through the points (7.5,2) and 7.5,9)
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

First let's find the slope through the points and


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


m=%289-2%29%2F%287.5-7.5%29 Plug in y%5B2%5D=9, y%5B1%5D=2, x%5B2%5D=7.5, x%5B1%5D=7.5,


m=%287%29%2F%287.5-7.5%29 Subtract 2 from 9 to get 7


m=%287%29%2F%280%29 Subtract 7.5 from 7.5 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=7.5, which is simply a vertical line through x=7.5.