Does every line have an infinite number of lines that are perpendicular to the given line?

And does every line have both an x-intercept and a y-intercept?

Question

Does every line have an infinite number of lines that are perpendicular to the given line?

And does every line have both an x-intercept and a y-intercept?

anonymous · Answer

@triciaal

triciaal · Answer

perpendicular I think yes
the slope of the first line changes and the perpendicular varies with the slope at a given point 
let me know if you want more on that 

not all lines have intercepts only linear functions are lines therefore have intercepts
this could be a trick question

anonymous · Answer

Yeah, can you elaborate more for the first question? I was right about the second but I thought the first one would be no! (Thank you for your help by the way!)

zzr0ck3r · Answer

for the line $y=mx+b$ the following line will be perpendicular for any $c$ you choose.

$y=\frac{-1}{m}x+c$  

assuming $m\ne 0$

zzr0ck3r · Answer

since there infinite choices for $c$ we have infinite lines. 

uncountably infinite even!

triciaal · Answer

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