Question

Find an equation for the linear function which has y-intercept-2 and x-intercept 9. fx =

Answer 1

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

Answer 2

Answer:

The answer to your question is $f(x) = -\frac{2}{9}x + 2$

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