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18 votes
18 votes
Write a linear function f with f (0)
7 and f(3) = 1.
f(x) =

Write a linear function f with f (0) 7 and f(3) = 1. f(x) =-example-1
User Kayle
by
2.8k points

1 Answer

13 votes
13 votes

Answer:

f(x) = -2x +7

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

User Nkjt
by
3.3k points
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