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  • 23-07-2018
  • Mathematics
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Which linear function represents the line given by the point-slope equation y – 8 =1/2 (x – 4)?
a.f(x)=1/2 x+4B.f(x)=1/2 x+6C.f(x)=1/2x-10D.f(x)=1/2x-12

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Luv2Teach
Luv2Teach Luv2Teach
  • 23-07-2018

What you have to do here is put that point-slope form of the line into the slope-intercept form, which simply means to solve it for y. We first distribute the 1/2 into the parenthesis to get [tex] y-8=\frac{1}{2}x-2 [/tex]. Now we will add 8 to both sides and get [tex] y=\frac{1}{2}x+6 [/tex]. Of course, in function notation that is [tex] f(x)=\frac{1}{2}x+6 [/tex], which is choice B.

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