anonymous
  • anonymous
I need to write an equation for the line containing the given point and parallel to the given line then put it in y=mx+b form. (3,4); x+2y=7
Mathematics
chestercat
  • chestercat
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myininaya
  • myininaya
ok so we have x+2y=7 write this is y=mx+b form
myininaya
  • myininaya
subtract x on both sides: x-x+2y=-x+7 2y=-x+7 divide both sides by 2: y=-x/2+7/2 what is the slope here?
anonymous
  • anonymous
1/2

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myininaya
  • myininaya
-1/2
myininaya
  • myininaya
ok all parallel lines have the same slope
myininaya
  • myininaya
so our equation parallel to the line x+2y=7 (or y=-x/2+7/2) is y=-x/2+b so we need to find the y-intercept (aka b)
myininaya
  • myininaya
we know a point (3,4) on this line
myininaya
  • myininaya
x is 3 y is 4 so we have 4=-3/2+b (now you solve for b)
anonymous
  • anonymous
Now I'm lost
anonymous
  • anonymous
I'm not sure of the math.. do I divide -3/2 by 4
myininaya
  • myininaya
to get b by itself what do you add to both sides
anonymous
  • anonymous
4
myininaya
  • myininaya
no! we have 4=-3/2+b we want b by itself so we need to add 3/2 on both sides
myininaya
  • myininaya
4+3/2=-3/2+3/2+b 4+3/2=0+b 4+3/2=b b=4+3/2 b=4*2/2+3/2 (common denominator) b=8/2+3/2 b=11/2 so y=-x/2+11/2
anonymous
  • anonymous
Thanks

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