Question

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

Answer 1

The answer to your question is
`f(x) = -(2)/(9)x + 2`

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

Answer 2

f(x) = -2x +9

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