## anonymous 5 years ago write an equation is standard form of the line passing through the give pair of points. The line goes through the points (5,2) and (5,4). What is the equation of the line?

1. anonymous

The general eq'n of a line is. $y = mx + b;$

2. anonymous

Now we find slope by taking the change in y/change in x $m= \frac{\Delta y}{\Delta x} = \frac{y2 - y1}{x2 - x1}$

3. anonymous

y2 = 4, y1 = 2 x2 = 5, y2 = 5

4. anonymous

m=0

5. anonymous

Whoa oh slope is undefined

6. anonymous

yes that's I found out :D

7. anonymous

m is not 0

8. anonymous

hmm than that's where I am making mistake huh

9. anonymous

if it was zero it would be flat. if its undefined it is vertical

10. anonymous

but when you evaluate the equation for M what would you get? y2-y1 / x2-y2 which comes to 2/0..?

11. anonymous

divide by 0 = undefined, not 0 :)

12. anonymous

Yep and you can't divide by zero because the word will explode

13. anonymous

yes :D

14. anonymous

so the answer would be x=5...

15. anonymous

yes!

16. anonymous

Just a vertical line.