anonymous
  • anonymous
i need help please!!!!!!!!!!! find an equation of the line through (4,7) and parallel to y=2x-4. write the equation using function notation.
Mathematics
jamiebookeater
  • jamiebookeater
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ganeshie8
  • ganeshie8
since the required line is parallel to y = 2x-4, the slope must be 2
ganeshie8
  • ganeshie8
so the equation will be of form \[y = 2x + b\] plugin the given point and find out \(b\)
anonymous
  • anonymous
plug 4 for b?

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ganeshie8
  • ganeshie8
(4, 7) x y
ganeshie8
  • ganeshie8
plugin x = 4 and y = 7
anonymous
  • anonymous
so 7=8x+b?
ganeshie8
  • ganeshie8
do you mean 7=8+b?
anonymous
  • anonymous
yes sorry
ganeshie8
  • ganeshie8
good, isolate b
anonymous
  • anonymous
-1=b
ganeshie8
  • ganeshie8
Excellent! so the equation is \[y = 2x - 1\]
ganeshie8
  • ganeshie8
but wait they want to put it in function form
ganeshie8
  • ganeshie8
for function form, simply replace \(y\) with \(f(x)\) : \[f(x) = 2x - 1\]
anonymous
  • anonymous
okay, thanks so much!
ganeshie8
  • ganeshie8
yw!

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