anonymous
  • anonymous
If the 2 lines given by the equations 12x+3y=20 and ax+y=10 don't intersect when graphed, what is the value of "a"?
Mathematics
schrodinger
  • schrodinger
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sasogeek
  • sasogeek
if they don't intersect, it means they're parallel and their gradient is the same. find the gradient of the first equation and that's equal to "a" :)
zzr0ck3r
  • zzr0ck3r
set both equal to y, and make them have the same slope
zzr0ck3r
  • zzr0ck3r
as long as they dont have the same y intercept they will not cross if they have the same slope

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zzr0ck3r
  • zzr0ck3r
3y = 20 -3x y = -x-(20/3) and the other equation set to y is what?
zzr0ck3r
  • zzr0ck3r
@mitchelsewbaran ?
anonymous
  • anonymous
hmmm.....
zzr0ck3r
  • zzr0ck3r
that should be +(20/3)
zzr0ck3r
  • zzr0ck3r
y = -x+(20/3)
zzr0ck3r
  • zzr0ck3r
solve for y in the second equation
zzr0ck3r
  • zzr0ck3r
y = -ax+10 we want them to have the same slope so what does a need to be? y = -x+(20/3) y = -ax+10 a = ?
anonymous
  • anonymous
10?
sasogeek
  • sasogeek
12x+3y=20 solve for y 3y=-12x+20 y=-4x+(20/3) can u tell what the slope is?
sasogeek
  • sasogeek
@mitchelsewbaran ... ?
anonymous
  • anonymous
hold on

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