stephenmatthew423 stephenmatthew423
  • 22-07-2019
  • Mathematics
contestada

Which linear function represents the line given by the point-slope equation y – 8 =1/2 (x – 4)? f(x) =1/2 x + 4 f(x) =1/2 x + 6 f(x) =1/2 x – 10 f(x) =1/2 x – 12

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absor201
absor201 absor201
  • 22-07-2019

Answer:

The correct answer is f(x) =1/2 x + 6

Step-by-step explanation:

We have to convert the equation of line in the form of a function to compare with the options

Given equation of line is:

[tex]y-8=\frac{1}{2}(x-4)\\ Distributing\ 1/2\\y-8=\frac{1}{2}x-(4)(\frac{1}{2})\\y-8=\frac{1}{2}x-2\\y=\frac{1}{2}x-2+8\\y=\frac{1}{2}x+6[/tex]

Therefore, the correct answer is f(x) =1/2 x + 6  ..

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