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Zigmanuir [339]
3 years ago
7

Write a linear function f with f(0) =7 and f(3)=1

Mathematics
1 answer:
swat323 years ago
5 0

Answer:

  f(x) = -2x +7

Step-by-step explanation:

The 2-point form of the equation for a line is suitable for this. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For the given points (0, 7) and (3, 1), the equation is ...

  y = (1 -7)/(3 -0)(x -0) +7

  y = -6/3x +7 . . . . . . . . simplify.

We can use f(x) for y to get ...

  f(x) = -2x +7

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From the figure attached,

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