ques..

Question

ques..

anonymous · Answer

equation of a line,
$$y=mx+c$$ is only applicable for non vertical lines?

ipwnbunnies · Answer

Basically.

ipwnbunnies · Answer

A vertical line has an undefined slope, so m = infinity, essentially. The equation is also undefined at that point.

anonymous · Answer

ok

ganeshie8 · Answer

this is an interesting question

anonymous · Answer

vertical lines have slope = undefined, and you have got $y = mx + c$, and vertical lines have the form : $x = c$

ipwnbunnies · Answer

Is it?

anonymous · Answer

yes, it is an interesting question..

ipwnbunnies · Answer

<w<

anonymous · Answer

My original question was to find the diff. equation for all non vertical lines in a plane.I knew the equation for a line but didn't think you can't use for vertical lines :P

anonymous · Answer

thats why I was stuck

ganeshie8 · Answer

the slope of a straight line is constant : 
$$\dfrac{dy}{dx} = m$$

solving gives
$$y = mx + C$$

ganeshie8 · Answer

how do we know this solution doesn't work for vertical lines from the differential equation ?

ipwnbunnies · Answer

But m approaches infinity?

anonymous · Answer

Because we can relate y=mx+C to the equation of a straight line, thus we can conclude m is our slope and is undefined for vertical lines.I guess a type of equation gives a unique graph

anonymous · Answer

@ganeshie8