Respuesta :

wegnerkolmp2741o

Answer:

f(x) = -2x +9

Step-by-step explanation:

We can use the slope intercept form

y= mx +b where m is the slope and b is the y intercept

y = -2x +9

Replacing y with f(x)

f(x) = -2x +9

joseaaronlara

Answer:

The answer to your question is [tex]f(x) = -\frac{2}{9}x + 2[/tex]

Step-by-step explanation:

Data

y-intercept = 2

x-intercept = 9

Process

1.- Find the points of intersection

y-intercept = 2    (0, 2)

x-intercept = 9    (9, 0)

2.- Find the slope

m = (0 - 2)/(9 - 0)

m = -2/9

3.- Find the equation of the line

     y - y1 = m(x - x1)

     y - 2 = -2/9(x - 0)

Simplification

     y - 2 = -2/9x

Function

     f(x) = y = -2/9x + 2

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