Please help me!!
http://i.imgur.com/dlAh7BY.jpg?1

Question

Please help me!! 
http://i.imgur.com/dlAh7BY.jpg?1

anonymous · Answer

gotta use the slope somehow

anonymous · Answer

suppose $x$ was $5$ for example
how would you find $y$ ?

anonymous · Answer

i would find the slope using that point in the middle and the coordinate with a 5. then, i would make that slope equal to the slope of the given point and the point with the y. then i would solve for y. sorry if my explanation sucks. ;__; is that how we do it?

anonymous · Answer

yes that is how i would do it
i take it for granted that you know that the length, by pythagoras, is $$\sqrt{x^2+y^2}$$ so our real job is to find $y$ in terms of $x$ and plug it in to that formula

anonymous · Answer

lets forget the $5$ and do it just with variables
what is the slope of the line through $(0,y)$ and $(x,0)$ ?

anonymous · Answer

oops did i lose you?

anonymous · Answer

well, i think it's -2/ x-3 but is it also 2-y/3

anonymous · Answer

then do i make it equal to each other and solve for y?

anonymous · Answer

yeah you can do it that way too, i was going to make it easier

anonymous · Answer

oh xD

anonymous · Answer

actually i did it your way first, and we can do that if you like

anonymous · Answer

but then i thought it would be easier if we only computed the slope between $(0,y)$ and $(x,0)$ which you get pretty much straight away as $-\frac{y}{x}$

anonymous · Answer

then compute the slope between $(3,2)$ and $(x,0)$ and get 
$$\frac{2}{3-x}$$ or as you had it 
$$\frac{-2}{x-3}$$

anonymous · Answer

then yes, set them equal and get 
$$-\frac{y}{x}=-\frac{2}{x-3}$$

anonymous · Answer

ohhh

anonymous · Answer

well i got y = 2x/x+3 tho xD

anonymous · Answer

same idea exactly only this one is easier to solve for $y$

anonymous · Answer

i think you have as small mistake 
i think the $+$ should be a $-$ in the denominator

anonymous · Answer

i.e. 
$$y=\frac{2x}{x-3}$$

anonymous · Answer

ohhhh. i see what i did wrong. i accidently switched the sign at one point.. xD

anonymous · Answer

and now we are done right? 
wasn't too bad

anonymous · Answer

yea ur right. :D Thanks. but the final answer will be under a square root right?

anonymous · Answer

yeah and squared too

anonymous · Answer

okay ty :)

anonymous · Answer

yw